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Finding the Third Proportional to 162,394,320 and 383,221,524

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Solution

The third proportional to 162,394,320 and 383,221,524 is: 904,334,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,394,320 : 383,221,524 = 383,221,524 : x
  2. Step 2: Convert to fraction form
    162,394,320/383,221,524 = 383,221,524/x
  3. Step 3: Cross multiply
    162,394,320x = 383,221,524 × 383,221,524
  4. Step 4: Simplify right side
    162,394,320x = 146,858,736,456,882,560
  5. Step 5: Solve for x
    x = 146,858,736,456,882,560/162,394,320
  6. Step 6: Final answer
    x = 904,334,193.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.