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Finding the Third Proportional to 80,105,170 and 164,456,922

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Solution

The third proportional to 80,105,170 and 164,456,922 is: 337,632,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,170 : 164,456,922 = 164,456,922 : x
  2. Step 2: Convert to fraction form
    80,105,170/164,456,922 = 164,456,922/x
  3. Step 3: Cross multiply
    80,105,170x = 164,456,922 × 164,456,922
  4. Step 4: Simplify right side
    80,105,170x = 27,046,079,193,714,084
  5. Step 5: Solve for x
    x = 27,046,079,193,714,084/80,105,170
  6. Step 6: Final answer
    x = 337,632,130.28

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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.