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Finding the Third Proportional to 96,616.13 and 206,500.50

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Solution

The third proportional to 96,616.13 and 206,500.50 is: 441,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,616.13 : 206,500.50 = 206,500.50 : x
  2. Step 2: Convert to fraction form
    96,616.13/206,500.50 = 206,500.50/x
  3. Step 3: Cross multiply
    96,616.13x = 206,500.50 × 206,500.50
  4. Step 4: Simplify right side
    96,616.13x = 42,642,456,500.25
  5. Step 5: Solve for x
    x = 42,642,456,500.25/96,616.13
  6. Step 6: Final answer
    x = 441,359.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.