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Finding the Third Proportional to 99,672 and 218,928

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Solution

The third proportional to 99,672 and 218,928 is: 480,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,672 : 218,928 = 218,928 : x
  2. Step 2: Convert to fraction form
    99,672/218,928 = 218,928/x
  3. Step 3: Cross multiply
    99,672x = 218,928 × 218,928
  4. Step 4: Simplify right side
    99,672x = 47,929,469,184
  5. Step 5: Solve for x
    x = 47,929,469,184/99,672
  6. Step 6: Final answer
    x = 480,871.95

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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.