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Finding the Third Proportional to 107,919 and 220,120

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Solution

The third proportional to 107,919 and 220,120 is: 448,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,919 : 220,120 = 220,120 : x
  2. Step 2: Convert to fraction form
    107,919/220,120 = 220,120/x
  3. Step 3: Cross multiply
    107,919x = 220,120 × 220,120
  4. Step 4: Simplify right side
    107,919x = 48,452,814,400
  5. Step 5: Solve for x
    x = 48,452,814,400/107,919
  6. Step 6: Final answer
    x = 448,973.90

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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.