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Finding the Third Proportional to 41,589,170 and 92,741,032

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Solution

The third proportional to 41,589,170 and 92,741,032 is: 206,806,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589,170 : 92,741,032 = 92,741,032 : x
  2. Step 2: Convert to fraction form
    41,589,170/92,741,032 = 92,741,032/x
  3. Step 3: Cross multiply
    41,589,170x = 92,741,032 × 92,741,032
  4. Step 4: Simplify right side
    41,589,170x = 8,600,899,016,425,024
  5. Step 5: Solve for x
    x = 8,600,899,016,425,024/41,589,170
  6. Step 6: Final answer
    x = 206,806,219.42

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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.