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Finding the Third Proportional to 92,517.75 and 192,307.78

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Solution

The third proportional to 92,517.75 and 192,307.78 is: 399,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,517.75 : 192,307.78 = 192,307.78 : x
  2. Step 2: Convert to fraction form
    92,517.75/192,307.78 = 192,307.78/x
  3. Step 3: Cross multiply
    92,517.75x = 192,307.78 × 192,307.78
  4. Step 4: Simplify right side
    92,517.75x = 36,982,282,729.30
  5. Step 5: Solve for x
    x = 36,982,282,729.30/92,517.75
  6. Step 6: Final answer
    x = 399,731.76

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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.