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Finding the Third Proportional to 48,593.97 and 101,067.38

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Solution

The third proportional to 48,593.97 and 101,067.38 is: 210,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,593.97 : 101,067.38 = 101,067.38 : x
  2. Step 2: Convert to fraction form
    48,593.97/101,067.38 = 101,067.38/x
  3. Step 3: Cross multiply
    48,593.97x = 101,067.38 × 101,067.38
  4. Step 4: Simplify right side
    48,593.97x = 10,214,614,289.39
  5. Step 5: Solve for x
    x = 10,214,614,289.39/48,593.97
  6. Step 6: Final answer
    x = 210,203.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.