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Finding the Third Proportional to 95,494 and 198,830

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Solution

The third proportional to 95,494 and 198,830 is: 413,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,494 : 198,830 = 198,830 : x
  2. Step 2: Convert to fraction form
    95,494/198,830 = 198,830/x
  3. Step 3: Cross multiply
    95,494x = 198,830 × 198,830
  4. Step 4: Simplify right side
    95,494x = 39,533,368,900
  5. Step 5: Solve for x
    x = 39,533,368,900/95,494
  6. Step 6: Final answer
    x = 413,987.99

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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.