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Finding the Third Proportional to 100,367 and 218,067

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Solution

The third proportional to 100,367 and 218,067 is: 473,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,367 : 218,067 = 218,067 : x
  2. Step 2: Convert to fraction form
    100,367/218,067 = 218,067/x
  3. Step 3: Cross multiply
    100,367x = 218,067 × 218,067
  4. Step 4: Simplify right side
    100,367x = 47,553,216,489
  5. Step 5: Solve for x
    x = 47,553,216,489/100,367
  6. Step 6: Final answer
    x = 473,793.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.