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Finding the Third Proportional to 96,127.45 and 207,046.27

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Solution

The third proportional to 96,127.45 and 207,046.27 is: 445,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,127.45 : 207,046.27 = 207,046.27 : x
  2. Step 2: Convert to fraction form
    96,127.45/207,046.27 = 207,046.27/x
  3. Step 3: Cross multiply
    96,127.45x = 207,046.27 × 207,046.27
  4. Step 4: Simplify right side
    96,127.45x = 42,868,156,109.26
  5. Step 5: Solve for x
    x = 42,868,156,109.26/96,127.45
  6. Step 6: Final answer
    x = 445,951.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.