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Finding the Third Proportional to 81,108,214 and 125,669,811

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Solution

The third proportional to 81,108,214 and 125,669,811 is: 194,713,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,108,214 : 125,669,811 = 125,669,811 : x
  2. Step 2: Convert to fraction form
    81,108,214/125,669,811 = 125,669,811/x
  3. Step 3: Cross multiply
    81,108,214x = 125,669,811 × 125,669,811
  4. Step 4: Simplify right side
    81,108,214x = 15,792,901,396,775,720
  5. Step 5: Solve for x
    x = 15,792,901,396,775,720/81,108,214
  6. Step 6: Final answer
    x = 194,713,958.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.