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The phrase "a ratio between" is grammatically correct and can be used in written English.
It can be used to describe a comparison between two quantities or values. For example: "We need to determine the ratio between income and expenses to create a budget."
Exact(58)
In recent months, there have been calls for establishing a ratio between C.E.O.
The debt burden is a ratio between the accumulated debt and the GDP, both expressed in nominal terms.
The blue rectangle and the orange rectangle have the same proportions as the overall rectangle, which is a ratio between the sides of 1.325.
The banks were told then to introduce a ratio between fixed salary and bonus elements.
Damage ratio – a ratio between the cost of repair relative to the cost of replacement.
The samples have a ratio between 0.03 and 0.72 indicating the dissolution of dolomite.
FPR is a ratio between number of anomalies incorrectly classified and total number of anomalies.
A ratio between 1 6 and 1 8 is advantageous for medium size clusters.
The E24 index was estimated by a ratio between the emulsion volume and total content volume.
Digestates often have a ratio between nitrogen, phosphorus and potassium which is not favourable for plant growth.
Similar(1)
E-to-A ratio between 1 and 2 was defined as normal.
More suggestions(17)
a representation between
a relationship between
a connection between
a report between
a rating between
a quota between
a figure between
a factor between
a requirement between
a rate between
a relation between
a share between
a proportion between
a relationships between
a proportion to
a proportion is
a choice between
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com