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Finding the Third Proportional to 102,175,966.69 and 153,231,760.13

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Solution

The third proportional to 102,175,966.69 and 153,231,760.13 is: 229,799,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,175,966.69 : 153,231,760.13 = 153,231,760.13 : x
  2. Step 2: Convert to fraction form
    102,175,966.69/153,231,760.13 = 153,231,760.13/x
  3. Step 3: Cross multiply
    102,175,966.69x = 153,231,760.13 × 153,231,760.13
  4. Step 4: Simplify right side
    102,175,966.69x = 23,479,972,311,005,540
  5. Step 5: Solve for x
    x = 23,479,972,311,005,540/102,175,966.69
  6. Step 6: Final answer
    x = 229,799,365.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.