f a : b = b : c = 2 : 3 find a:b:c.a.3:3 : 4b.4:6:9c.2:3:3d.9:6:4

The given ratio is a : b = b : c = 2 : 3.

This means that 'b' is the common term in the ratios a : b and b : c.

So, we can equate the value of 'b' in both ratios.

Let's assume that b = 2x in the ratio a : b and b = 3y in the ratio b : c.

Since 'b' is the same in both ratios, we can equate 2x = 3y.

Solving this equation, we get x = 1.5y.

Substituting x = 1.5y in the ratio a : b, we get a : b = 2(1.5y) : 2y = 3y : 2y.

Similarly, substituting y = x/1.5 in the ratio b : c, we get b : c = 3(x/1.5) : 3x = 2x : 3x.

So, the ratio a : b : c = 3y : 2y : 2x = 3 : 2 : 2.

Therefore, the correct answer is c. 2:3:3.