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Finding the Third Proportional to 41,964,202 and 90,305,708

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Solution

The third proportional to 41,964,202 and 90,305,708 is: 194,335,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964,202 : 90,305,708 = 90,305,708 : x
  2. Step 2: Convert to fraction form
    41,964,202/90,305,708 = 90,305,708/x
  3. Step 3: Cross multiply
    41,964,202x = 90,305,708 × 90,305,708
  4. Step 4: Simplify right side
    41,964,202x = 8,155,120,897,381,264
  5. Step 5: Solve for x
    x = 8,155,120,897,381,264/41,964,202
  6. Step 6: Final answer
    x = 194,335,183.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.