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Finding the Third Proportional to 95,408 and 188,404

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Solution

The third proportional to 95,408 and 188,404 is: 372,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,408 : 188,404 = 188,404 : x
  2. Step 2: Convert to fraction form
    95,408/188,404 = 188,404/x
  3. Step 3: Cross multiply
    95,408x = 188,404 × 188,404
  4. Step 4: Simplify right side
    95,408x = 35,496,067,216
  5. Step 5: Solve for x
    x = 35,496,067,216/95,408
  6. Step 6: Final answer
    x = 372,044.98

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.