The ratio 216:x is equivalent to the ratio x^{2}:216. What is the value of x?

alesterp 2021-02-06 Answered
The ratio 216:x is equivalent to the ratio x2:216. What is the value of x?
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Expert Answer

Leonard Stokes
Answered 2021-02-07 Author has 98 answers

The ratio 216:x written as a fraction is 216/x. 
The ratio x2:216 written as a fraction is (x2)216 
If the ratios are equivalent (which means they are equal), then:
216x=x2216 
216×216=x×x2 
46,656=x3 
346,656=3x6 
36=x

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