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Finding the Third Proportional to 95,822 and 197,790

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Solution

The third proportional to 95,822 and 197,790 is: 408,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,822 : 197,790 = 197,790 : x
  2. Step 2: Convert to fraction form
    95,822/197,790 = 197,790/x
  3. Step 3: Cross multiply
    95,822x = 197,790 × 197,790
  4. Step 4: Simplify right side
    95,822x = 39,120,884,100
  5. Step 5: Solve for x
    x = 39,120,884,100/95,822
  6. Step 6: Final answer
    x = 408,266.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.