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Finding the Third Proportional to 80,105,071 and 164,456,754

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Solution

The third proportional to 80,105,071 and 164,456,754 is: 337,631,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,071 : 164,456,754 = 164,456,754 : x
  2. Step 2: Convert to fraction form
    80,105,071/164,456,754 = 164,456,754/x
  3. Step 3: Cross multiply
    80,105,071x = 164,456,754 × 164,456,754
  4. Step 4: Simplify right side
    80,105,071x = 27,046,023,936,216,516
  5. Step 5: Solve for x
    x = 27,046,023,936,216,516/80,105,071
  6. Step 6: Final answer
    x = 337,631,857.74

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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.