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Finding the Third Proportional to 101,038 and 220,067

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Solution

The third proportional to 101,038 and 220,067 is: 479,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,038 : 220,067 = 220,067 : x
  2. Step 2: Convert to fraction form
    101,038/220,067 = 220,067/x
  3. Step 3: Cross multiply
    101,038x = 220,067 × 220,067
  4. Step 4: Simplify right side
    101,038x = 48,429,484,489
  5. Step 5: Solve for x
    x = 48,429,484,489/101,038
  6. Step 6: Final answer
    x = 479,319.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.