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Finding the Third Proportional to 98,542 and 216,766

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Solution

The third proportional to 98,542 and 216,766 is: 476,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,542 : 216,766 = 216,766 : x
  2. Step 2: Convert to fraction form
    98,542/216,766 = 216,766/x
  3. Step 3: Cross multiply
    98,542x = 216,766 × 216,766
  4. Step 4: Simplify right side
    98,542x = 46,987,498,756
  5. Step 5: Solve for x
    x = 46,987,498,756/98,542
  6. Step 6: Final answer
    x = 476,827.13

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Why These Related Problems?

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