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Finding the Third Proportional to 136,311,822 and 293,408,892

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Solution

The third proportional to 136,311,822 and 293,408,892 is: 631,557,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311,822 : 293,408,892 = 293,408,892 : x
  2. Step 2: Convert to fraction form
    136,311,822/293,408,892 = 293,408,892/x
  3. Step 3: Cross multiply
    136,311,822x = 293,408,892 × 293,408,892
  4. Step 4: Simplify right side
    136,311,822x = 86,088,777,904,667,664
  5. Step 5: Solve for x
    x = 86,088,777,904,667,664/136,311,822
  6. Step 6: Final answer
    x = 631,557,678.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.