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Finding the Third Proportional to 81,420,162 and 175,594,422

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Solution

The third proportional to 81,420,162 and 175,594,422 is: 378,694,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,420,162 : 175,594,422 = 175,594,422 : x
  2. Step 2: Convert to fraction form
    81,420,162/175,594,422 = 175,594,422/x
  3. Step 3: Cross multiply
    81,420,162x = 175,594,422 × 175,594,422
  4. Step 4: Simplify right side
    81,420,162x = 30,833,401,037,514,084
  5. Step 5: Solve for x
    x = 30,833,401,037,514,084/81,420,162
  6. Step 6: Final answer
    x = 378,694,911.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.