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Finding the Third Proportional to 41,977.13 and 90,721.13

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Solution

The third proportional to 41,977.13 and 90,721.13 is: 196,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,977.13 : 90,721.13 = 90,721.13 : x
  2. Step 2: Convert to fraction form
    41,977.13/90,721.13 = 90,721.13/x
  3. Step 3: Cross multiply
    41,977.13x = 90,721.13 × 90,721.13
  4. Step 4: Simplify right side
    41,977.13x = 8,230,322,521.27
  5. Step 5: Solve for x
    x = 8,230,322,521.27/41,977.13
  6. Step 6: Final answer
    x = 196,066.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.