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Finding the Third Proportional to 107,882 and 220,048

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Solution

The third proportional to 107,882 and 220,048 is: 448,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,882 : 220,048 = 220,048 : x
  2. Step 2: Convert to fraction form
    107,882/220,048 = 220,048/x
  3. Step 3: Cross multiply
    107,882x = 220,048 × 220,048
  4. Step 4: Simplify right side
    107,882x = 48,421,122,304
  5. Step 5: Solve for x
    x = 48,421,122,304/107,882
  6. Step 6: Final answer
    x = 448,834.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.