ratio

[rey-shoh, -shee-oh]
noun, plural ratios.
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)
 
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]

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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
They measure that amount with the probe, which detects the ratios of minerals
  called olivine, pyroxene and feldspar.
Complexity had extended itself on immense horizons, and arithmetical ratios
  were useless for any attempt at accuracy.
Sooner or later, companies mature, and they end up at mundane price-earnings
  ratios.
He expounds enthusiastically upon footcandles and price-point-to-aperture
  ratios.
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