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Finding the Third Proportional to 169,667,320.50 and 259,431,815.25

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Solution

The third proportional to 169,667,320.50 and 259,431,815.25 is: 396,687,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,667,320.50 : 259,431,815.25 = 259,431,815.25 : x
  2. Step 2: Convert to fraction form
    169,667,320.50/259,431,815.25 = 259,431,815.25/x
  3. Step 3: Cross multiply
    169,667,320.50x = 259,431,815.25 × 259,431,815.25
  4. Step 4: Simplify right side
    169,667,320.50x = 67,304,866,763,910,136
  5. Step 5: Solve for x
    x = 67,304,866,763,910,136/169,667,320.50
  6. Step 6: Final answer
    x = 396,687,273.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.