Finding the Third Proportional to 256,553,175.66 and 560,132,652.09
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Solution
The third proportional to 256,553,175.66 and 560,132,652.09 is: 1,222,937,845.69
Step by Step Solution
- Step 1: Write the proportion equation
256,553,175.66 : 560,132,652.09 = 560,132,652.09 : x - Step 2: Convert to fraction form
256,553,175.66/560,132,652.09 = 560,132,652.09/x - Step 3: Cross multiply
256,553,175.66x = 560,132,652.09 × 560,132,652.09 - Step 4: Simplify right side
256,553,175.66x = 313,748,587,941,577,984 - Step 5: Solve for x
x = 313,748,587,941,577,984/256,553,175.66 - Step 6: Final answer
x = 1,222,937,845.69
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.