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Finding the Third Proportional to 185,198,132 and 394,992,724

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Solution

The third proportional to 185,198,132 and 394,992,724 is: 842,445,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,198,132 : 394,992,724 = 394,992,724 : x
  2. Step 2: Convert to fraction form
    185,198,132/394,992,724 = 394,992,724/x
  3. Step 3: Cross multiply
    185,198,132x = 394,992,724 × 394,992,724
  4. Step 4: Simplify right side
    185,198,132x = 156,019,252,012,940,160
  5. Step 5: Solve for x
    x = 156,019,252,012,940,160/185,198,132
  6. Step 6: Final answer
    x = 842,445,063.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.