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Finding the Third Proportional to 88,843 and 187,663

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Solution

The third proportional to 88,843 and 187,663 is: 396,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,843 : 187,663 = 187,663 : x
  2. Step 2: Convert to fraction form
    88,843/187,663 = 187,663/x
  3. Step 3: Cross multiply
    88,843x = 187,663 × 187,663
  4. Step 4: Simplify right side
    88,843x = 35,217,401,569
  5. Step 5: Solve for x
    x = 35,217,401,569/88,843
  6. Step 6: Final answer
    x = 396,400.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.