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Finding the Third Proportional to 41,589,112 and 92,740,900

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Solution

The third proportional to 41,589,112 and 92,740,900 is: 206,805,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589,112 : 92,740,900 = 92,740,900 : x
  2. Step 2: Convert to fraction form
    41,589,112/92,740,900 = 92,740,900/x
  3. Step 3: Cross multiply
    41,589,112x = 92,740,900 × 92,740,900
  4. Step 4: Simplify right side
    41,589,112x = 8,600,874,532,810,000
  5. Step 5: Solve for x
    x = 8,600,874,532,810,000/41,589,112
  6. Step 6: Final answer
    x = 206,805,919.13

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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.