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Finding the Third Proportional to 192,469,383 and 395,142,132

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Solution

The third proportional to 192,469,383 and 395,142,132 is: 811,231,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,469,383 : 395,142,132 = 395,142,132 : x
  2. Step 2: Convert to fraction form
    192,469,383/395,142,132 = 395,142,132/x
  3. Step 3: Cross multiply
    192,469,383x = 395,142,132 × 395,142,132
  4. Step 4: Simplify right side
    192,469,383x = 156,137,304,481,505,408
  5. Step 5: Solve for x
    x = 156,137,304,481,505,408/192,469,383
  6. Step 6: Final answer
    x = 811,231,906.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.