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Finding the Third Proportional to 129,463.31 and 206,089.31

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Solution

The third proportional to 129,463.31 and 206,089.31 is: 328,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,463.31 : 206,089.31 = 206,089.31 : x
  2. Step 2: Convert to fraction form
    129,463.31/206,089.31 = 206,089.31/x
  3. Step 3: Cross multiply
    129,463.31x = 206,089.31 × 206,089.31
  4. Step 4: Simplify right side
    129,463.31x = 42,472,804,726.72
  5. Step 5: Solve for x
    x = 42,472,804,726.72/129,463.31
  6. Step 6: Final answer
    x = 328,068.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.