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Finding the Third Proportional to 95,780 and 194,296

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Solution

The third proportional to 95,780 and 194,296 is: 394,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,780 : 194,296 = 194,296 : x
  2. Step 2: Convert to fraction form
    95,780/194,296 = 194,296/x
  3. Step 3: Cross multiply
    95,780x = 194,296 × 194,296
  4. Step 4: Simplify right side
    95,780x = 37,750,935,616
  5. Step 5: Solve for x
    x = 37,750,935,616/95,780
  6. Step 6: Final answer
    x = 394,142.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.