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Finding the Third Proportional to 91,230 and 200,439

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Solution

The third proportional to 91,230 and 200,439 is: 440,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,230 : 200,439 = 200,439 : x
  2. Step 2: Convert to fraction form
    91,230/200,439 = 200,439/x
  3. Step 3: Cross multiply
    91,230x = 200,439 × 200,439
  4. Step 4: Simplify right side
    91,230x = 40,175,792,721
  5. Step 5: Solve for x
    x = 40,175,792,721/91,230
  6. Step 6: Final answer
    x = 440,379.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.