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Finding the Third Proportional to 95,817 and 197,781

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Solution

The third proportional to 95,817 and 197,781 is: 408,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,817 : 197,781 = 197,781 : x
  2. Step 2: Convert to fraction form
    95,817/197,781 = 197,781/x
  3. Step 3: Cross multiply
    95,817x = 197,781 × 197,781
  4. Step 4: Simplify right side
    95,817x = 39,117,323,961
  5. Step 5: Solve for x
    x = 39,117,323,961/95,817
  6. Step 6: Final answer
    x = 408,250.35

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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.