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Finding the Third Proportional to 95,498 and 202,379

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Solution

The third proportional to 95,498 and 202,379 is: 428,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,498 : 202,379 = 202,379 : x
  2. Step 2: Convert to fraction form
    95,498/202,379 = 202,379/x
  3. Step 3: Cross multiply
    95,498x = 202,379 × 202,379
  4. Step 4: Simplify right side
    95,498x = 40,957,259,641
  5. Step 5: Solve for x
    x = 40,957,259,641/95,498
  6. Step 6: Final answer
    x = 428,880.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.