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Finding the Third Proportional to 95,892.75 and 206,502.75

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Solution

The third proportional to 95,892.75 and 206,502.75 is: 444,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,892.75 : 206,502.75 = 206,502.75 : x
  2. Step 2: Convert to fraction form
    95,892.75/206,502.75 = 206,502.75/x
  3. Step 3: Cross multiply
    95,892.75x = 206,502.75 × 206,502.75
  4. Step 4: Simplify right side
    95,892.75x = 42,643,385,757.56
  5. Step 5: Solve for x
    x = 42,643,385,757.56/95,892.75
  6. Step 6: Final answer
    x = 444,698.75

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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.