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Finding the Third Proportional to 41,833.13 and 92,005.88

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Solution

The third proportional to 41,833.13 and 92,005.88 is: 202,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,833.13 : 92,005.88 = 92,005.88 : x
  2. Step 2: Convert to fraction form
    41,833.13/92,005.88 = 92,005.88/x
  3. Step 3: Cross multiply
    41,833.13x = 92,005.88 × 92,005.88
  4. Step 4: Simplify right side
    41,833.13x = 8,465,081,034.52
  5. Step 5: Solve for x
    x = 8,465,081,034.52/41,833.13
  6. Step 6: Final answer
    x = 202,353.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.