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Finding the Third Proportional to 87,816.28 and 207,233.34

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Solution

The third proportional to 87,816.28 and 207,233.34 is: 489,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,816.28 : 207,233.34 = 207,233.34 : x
  2. Step 2: Convert to fraction form
    87,816.28/207,233.34 = 207,233.34/x
  3. Step 3: Cross multiply
    87,816.28x = 207,233.34 × 207,233.34
  4. Step 4: Simplify right side
    87,816.28x = 42,945,658,761.81
  5. Step 5: Solve for x
    x = 42,945,658,761.81/87,816.28
  6. Step 6: Final answer
    x = 489,039.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.