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Finding the Third Proportional to 95,983.31 and 206,456.06

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Solution

The third proportional to 95,983.31 and 206,456.06 is: 444,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,983.31 : 206,456.06 = 206,456.06 : x
  2. Step 2: Convert to fraction form
    95,983.31/206,456.06 = 206,456.06/x
  3. Step 3: Cross multiply
    95,983.31x = 206,456.06 × 206,456.06
  4. Step 4: Simplify right side
    95,983.31x = 42,624,105,743.00
  5. Step 5: Solve for x
    x = 42,624,105,743.00/95,983.31
  6. Step 6: Final answer
    x = 444,078.29

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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.