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The geometric mean of P1,..,Pn is 

                        _____________ 
                       / n 
Geometric Mean =    n / __ 
                     /  ||  Normalized(Pi) 
                   \/   i=1

One of the nice features of Geometric means is that the following property holds: 

                        GeometricMean(Xi)
GeometricMean(Xi/Yi) = ------------------
                        GeometricMean(Yi)

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