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Finding the Third Proportional to 99,540 and 218,628

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Solution

The third proportional to 99,540 and 218,628 is: 480,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,540 : 218,628 = 218,628 : x
  2. Step 2: Convert to fraction form
    99,540/218,628 = 218,628/x
  3. Step 3: Cross multiply
    99,540x = 218,628 × 218,628
  4. Step 4: Simplify right side
    99,540x = 47,798,202,384
  5. Step 5: Solve for x
    x = 47,798,202,384/99,540
  6. Step 6: Final answer
    x = 480,190.90

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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.