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Finding the Third Proportional to 90,487.13 and 221,502.09

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Solution

The third proportional to 90,487.13 and 221,502.09 is: 542,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,487.13 : 221,502.09 = 221,502.09 : x
  2. Step 2: Convert to fraction form
    90,487.13/221,502.09 = 221,502.09/x
  3. Step 3: Cross multiply
    90,487.13x = 221,502.09 × 221,502.09
  4. Step 4: Simplify right side
    90,487.13x = 49,063,177,535.63
  5. Step 5: Solve for x
    x = 49,063,177,535.63/90,487.13
  6. Step 6: Final answer
    x = 542,211.70

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.