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Finding the Third Proportional to 92,110 and 200,439

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Solution

The third proportional to 92,110 and 200,439 is: 436,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,110 : 200,439 = 200,439 : x
  2. Step 2: Convert to fraction form
    92,110/200,439 = 200,439/x
  3. Step 3: Cross multiply
    92,110x = 200,439 × 200,439
  4. Step 4: Simplify right side
    92,110x = 40,175,792,721
  5. Step 5: Solve for x
    x = 40,175,792,721/92,110
  6. Step 6: Final answer
    x = 436,171.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.