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Ratio Question

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Hello guys, I saw similar question in GMAT OG but I think it would be much harder if I change it a bit. Please could you let me know your comment of this?

x is directly proportional to y and y is inversely proportional to z. If x is 100 when z is 50, what is x when z is 100?

I am not sure how to build a relationship of this. Is it possible to obtain a solution on this question?

Many thanks,

Gordon

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