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Finding the Third Proportional to 95,695.50 and 206,016

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Solution

The third proportional to 95,695.50 and 206,016 is: 443,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,695.50 : 206,016 = 206,016 : x
  2. Step 2: Convert to fraction form
    95,695.50/206,016 = 206,016/x
  3. Step 3: Cross multiply
    95,695.50x = 206,016 × 206,016
  4. Step 4: Simplify right side
    95,695.50x = 42,442,592,256
  5. Step 5: Solve for x
    x = 42,442,592,256/95,695.50
  6. Step 6: Final answer
    x = 443,517.12

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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.