ra·tio

[rey-shoh, -shee-oh]
noun, plural ra·tios.
1.
the relation between two similar magnitudes with respect to the number of times the first contains the second: the ratio of 5 to 2, written 5:2 or 5/2.
2.
proportional relation; rate: the ratio between acceptances and rejections.
3.
Finance. the relative value of gold and silver in a bimetallic currency system.

Origin:
1630–40; < Latin ratiō a reckoning, account, calculation, derivative (see -tion) of the base of rērī to judge, think

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World English Dictionary
ratio (ˈreɪʃɪˌəʊ) [Click for IPA pronunciation guide]
 
n , pl -tios
1.  a measure of the relative size of two classes expressible as a proportion: the ratio of boys to girls is 2 to 1
2.  maths See also proportion a quotient of two numbers or quantities
 
[C17: from Latin: a reckoning, from rērī to think; see reason]

Collins English Dictionary - Complete & Unabridged 10th Edition
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00:10
Ratio is always a great word to know.
So is ninnyhammer. Does it mean:
a fool or simpleton; ninny.
a calculus or concretion found in the stomach or intestines of certain animals, esp. ruminants, formerly reputed to be an effective remedy for poison.
Etymonline
Word Origin & History

ratio
1636, "reason, rationale," from L. ratio "reckoning, calculation, business affair, procedure," also "reason," from rat-, pp. stem of reri "to reckon, calculate," also "think" (see reason). Mathematical sense is attested from 1660.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

ratio ra·tio (rā'shō, rā'shē-ō')
n. pl. ra·tios

  1. Relation in degree or number between two similar things.

  2. The relation between two quantities expressed as the quotient of one divided by the other.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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American Heritage
Science Dictionary
ratio   (rā'shō, rā'shē-ō')  Pronunciation Key 
A relationship between two quantities, normally expressed as the quotient of one divided by the other. For example, if a box contains six red marbles and four blue marbles, the ratio of red marbles to blue marbles is 6 to 4, also written 6:4. A ratio can also be expressed as a decimal or percentage.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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American Heritage
Cultural Dictionary
ratio [(ray-shee-oh, ray-shoh)]

An expression of the relative size of two numbers by showing one divided by the other.

The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Example sentences
The joke-to-apology ratio was skewed toward jokes, and the entire monologue was
  funny, or intended to be.
But by the beginning of this year, shorts were at their lowest ratio of the
  market for six years.
Outside of resolution, the next feature to consider is ratio of height and
  width.
By changing the ratio of the two dyes, the researchers can alter the combined
  color of light that the material gives off.
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