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Finding the Third Proportional to 41,589,216 and 92,741,072

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Solution

The third proportional to 41,589,216 and 92,741,072 is: 206,806,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589,216 : 92,741,072 = 92,741,072 : x
  2. Step 2: Convert to fraction form
    41,589,216/92,741,072 = 92,741,072/x
  3. Step 3: Cross multiply
    41,589,216x = 92,741,072 × 92,741,072
  4. Step 4: Simplify right side
    41,589,216x = 8,600,906,435,709,184
  5. Step 5: Solve for x
    x = 8,600,906,435,709,184/41,589,216
  6. Step 6: Final answer
    x = 206,806,169.07

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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.