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Finding the Third Proportional to 41,589,160 and 92,741,012

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Solution

The third proportional to 41,589,160 and 92,741,012 is: 206,806,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589,160 : 92,741,012 = 92,741,012 : x
  2. Step 2: Convert to fraction form
    41,589,160/92,741,012 = 92,741,012/x
  3. Step 3: Cross multiply
    41,589,160x = 92,741,012 × 92,741,012
  4. Step 4: Simplify right side
    41,589,160x = 8,600,895,306,784,144
  5. Step 5: Solve for x
    x = 8,600,895,306,784,144/41,589,160
  6. Step 6: Final answer
    x = 206,806,179.95

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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.