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Finding the Third Proportional to 41,666.91 and 92,340.95

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Solution

The third proportional to 41,666.91 and 92,340.95 is: 204,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,666.91 : 92,340.95 = 92,340.95 : x
  2. Step 2: Convert to fraction form
    41,666.91/92,340.95 = 92,340.95/x
  3. Step 3: Cross multiply
    41,666.91x = 92,340.95 × 92,340.95
  4. Step 4: Simplify right side
    41,666.91x = 8,526,850,902.62
  5. Step 5: Solve for x
    x = 8,526,850,902.62/41,666.91
  6. Step 6: Final answer
    x = 204,643.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.