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Finding the Third Proportional to 169,667,289.75 and 259,431,769.13

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Solution

The third proportional to 169,667,289.75 and 259,431,769.13 is: 396,687,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,667,289.75 : 259,431,769.13 = 259,431,769.13 : x
  2. Step 2: Convert to fraction form
    169,667,289.75/259,431,769.13 = 259,431,769.13/x
  3. Step 3: Cross multiply
    169,667,289.75x = 259,431,769.13 × 259,431,769.13
  4. Step 4: Simplify right side
    169,667,289.75x = 67,304,842,831,327,304
  5. Step 5: Solve for x
    x = 67,304,842,831,327,304/169,667,289.75
  6. Step 6: Final answer
    x = 396,687,204.30

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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.