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Finding the Third Proportional to 95,468.63 and 198,781.59

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Solution

The third proportional to 95,468.63 and 198,781.59 is: 413,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,468.63 : 198,781.59 = 198,781.59 : x
  2. Step 2: Convert to fraction form
    95,468.63/198,781.59 = 198,781.59/x
  3. Step 3: Cross multiply
    95,468.63x = 198,781.59 × 198,781.59
  4. Step 4: Simplify right side
    95,468.63x = 39,514,122,013.79
  5. Step 5: Solve for x
    x = 39,514,122,013.79/95,468.63
  6. Step 6: Final answer
    x = 413,896.42

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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.