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Finding the Third Proportional to 41,866 and 91,604

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Solution

The third proportional to 41,866 and 91,604 is: 200,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,866 : 91,604 = 91,604 : x
  2. Step 2: Convert to fraction form
    41,866/91,604 = 91,604/x
  3. Step 3: Cross multiply
    41,866x = 91,604 × 91,604
  4. Step 4: Simplify right side
    41,866x = 8,391,292,816
  5. Step 5: Solve for x
    x = 8,391,292,816/41,866
  6. Step 6: Final answer
    x = 200,432.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.