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Finding the Third Proportional to 95,915 and 199,644

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Solution

The third proportional to 95,915 and 199,644 is: 415,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,915 : 199,644 = 199,644 : x
  2. Step 2: Convert to fraction form
    95,915/199,644 = 199,644/x
  3. Step 3: Cross multiply
    95,915x = 199,644 × 199,644
  4. Step 4: Simplify right side
    95,915x = 39,857,726,736
  5. Step 5: Solve for x
    x = 39,857,726,736/95,915
  6. Step 6: Final answer
    x = 415,552.59

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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.