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Finding the Third Proportional to 95,471 and 198,786

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Solution

The third proportional to 95,471 and 198,786 is: 413,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,471 : 198,786 = 198,786 : x
  2. Step 2: Convert to fraction form
    95,471/198,786 = 198,786/x
  3. Step 3: Cross multiply
    95,471x = 198,786 × 198,786
  4. Step 4: Simplify right side
    95,471x = 39,515,873,796
  5. Step 5: Solve for x
    x = 39,515,873,796/95,471
  6. Step 6: Final answer
    x = 413,904.47

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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.