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Finding the Third Proportional to 80,105,073 and 164,456,758

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Solution

The third proportional to 80,105,073 and 164,456,758 is: 337,631,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,073 : 164,456,758 = 164,456,758 : x
  2. Step 2: Convert to fraction form
    80,105,073/164,456,758 = 164,456,758/x
  3. Step 3: Cross multiply
    80,105,073x = 164,456,758 × 164,456,758
  4. Step 4: Simplify right side
    80,105,073x = 27,046,025,251,870,564
  5. Step 5: Solve for x
    x = 27,046,025,251,870,564/80,105,073
  6. Step 6: Final answer
    x = 337,631,865.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.