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Entonces tendremos lo siguiente::
4 / a = b / 864
ab = 4(864)
ab = 4x2x2x2x2x2x3x3x3
ab = (4x2x3)x[2x2x2x2x3x3]
ab = 24x[144]
Tomando :: a = 24 , b = 144
Por lo tanto::
Los medios geometricos buscados son 24 y 144