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Finding the Third Proportional to 92,359.41 and 198,966.66

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Solution

The third proportional to 92,359.41 and 198,966.66 is: 428,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,359.41 : 198,966.66 = 198,966.66 : x
  2. Step 2: Convert to fraction form
    92,359.41/198,966.66 = 198,966.66/x
  3. Step 3: Cross multiply
    92,359.41x = 198,966.66 × 198,966.66
  4. Step 4: Simplify right side
    92,359.41x = 39,587,730,299.31
  5. Step 5: Solve for x
    x = 39,587,730,299.31/92,359.41
  6. Step 6: Final answer
    x = 428,626.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.