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Finding the Third Proportional to 92,191.92 and 187,766.86

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Solution

The third proportional to 92,191.92 and 187,766.86 is: 382,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,191.92 : 187,766.86 = 187,766.86 : x
  2. Step 2: Convert to fraction form
    92,191.92/187,766.86 = 187,766.86/x
  3. Step 3: Cross multiply
    92,191.92x = 187,766.86 × 187,766.86
  4. Step 4: Simplify right side
    92,191.92x = 35,256,393,479.55
  5. Step 5: Solve for x
    x = 35,256,393,479.55/92,191.92
  6. Step 6: Final answer
    x = 382,423.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.