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Finding the Third Proportional to 80,105,058 and 164,456,722

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Solution

The third proportional to 80,105,058 and 164,456,722 is: 337,631,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,058 : 164,456,722 = 164,456,722 : x
  2. Step 2: Convert to fraction form
    80,105,058/164,456,722 = 164,456,722/x
  3. Step 3: Cross multiply
    80,105,058x = 164,456,722 × 164,456,722
  4. Step 4: Simplify right side
    80,105,058x = 27,046,013,410,985,284
  5. Step 5: Solve for x
    x = 27,046,013,410,985,284/80,105,058
  6. Step 6: Final answer
    x = 337,631,781.14

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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.