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Finding the Third Proportional to 99,554 and 216,605

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Solution

The third proportional to 99,554 and 216,605 is: 471,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,554 : 216,605 = 216,605 : x
  2. Step 2: Convert to fraction form
    99,554/216,605 = 216,605/x
  3. Step 3: Cross multiply
    99,554x = 216,605 × 216,605
  4. Step 4: Simplify right side
    99,554x = 46,917,726,025
  5. Step 5: Solve for x
    x = 46,917,726,025/99,554
  6. Step 6: Final answer
    x = 471,279.17

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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.