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Finding the Third Proportional to 63,989,851.50 and 96,657,256.13

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Solution

The third proportional to 63,989,851.50 and 96,657,256.13 is: 146,001,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,989,851.50 : 96,657,256.13 = 96,657,256.13 : x
  2. Step 2: Convert to fraction form
    63,989,851.50/96,657,256.13 = 96,657,256.13/x
  3. Step 3: Cross multiply
    63,989,851.50x = 96,657,256.13 × 96,657,256.13
  4. Step 4: Simplify right side
    63,989,851.50x = 9,342,625,161,613,850
  5. Step 5: Solve for x
    x = 9,342,625,161,613,850/63,989,851.50
  6. Step 6: Final answer
    x = 146,001,669.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.