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Finding the Third Proportional to 177,687,067.50 and 396,206,994.38

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Solution

The third proportional to 177,687,067.50 and 396,206,994.38 is: 883,463,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,687,067.50 : 396,206,994.38 = 396,206,994.38 : x
  2. Step 2: Convert to fraction form
    177,687,067.50/396,206,994.38 = 396,206,994.38/x
  3. Step 3: Cross multiply
    177,687,067.50x = 396,206,994.38 × 396,206,994.38
  4. Step 4: Simplify right side
    177,687,067.50x = 156,979,982,391,671,296
  5. Step 5: Solve for x
    x = 156,979,982,391,671,296/177,687,067.50
  6. Step 6: Final answer
    x = 883,463,183.90

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.