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Finding the Third Proportional to 169,667,289 and 259,431,768

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Solution

The third proportional to 169,667,289 and 259,431,768 is: 396,687,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,667,289 : 259,431,768 = 259,431,768 : x
  2. Step 2: Convert to fraction form
    169,667,289/259,431,768 = 259,431,768/x
  3. Step 3: Cross multiply
    169,667,289x = 259,431,768 × 259,431,768
  4. Step 4: Simplify right side
    169,667,289x = 67,304,842,247,605,824
  5. Step 5: Solve for x
    x = 67,304,842,247,605,824/169,667,289
  6. Step 6: Final answer
    x = 396,687,202.61

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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.