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Finding the Third Proportional to 41,589,150 and 92,741,016

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Solution

The third proportional to 41,589,150 and 92,741,016 is: 206,806,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589,150 : 92,741,016 = 92,741,016 : x
  2. Step 2: Convert to fraction form
    41,589,150/92,741,016 = 92,741,016/x
  3. Step 3: Cross multiply
    41,589,150x = 92,741,016 × 92,741,016
  4. Step 4: Simplify right side
    41,589,150x = 8,600,896,048,712,256
  5. Step 5: Solve for x
    x = 8,600,896,048,712,256/41,589,150
  6. Step 6: Final answer
    x = 206,806,247.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.