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Finding the Third Proportional to 99,525 and 218,730

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Solution

The third proportional to 99,525 and 218,730 is: 480,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,525 : 218,730 = 218,730 : x
  2. Step 2: Convert to fraction form
    99,525/218,730 = 218,730/x
  3. Step 3: Cross multiply
    99,525x = 218,730 × 218,730
  4. Step 4: Simplify right side
    99,525x = 47,842,812,900
  5. Step 5: Solve for x
    x = 47,842,812,900/99,525
  6. Step 6: Final answer
    x = 480,711.51

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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.