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Finding the Third Proportional to 158,681,650 and 245,203,612

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Solution

The third proportional to 158,681,650 and 245,203,612 is: 378,902,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,681,650 : 245,203,612 = 245,203,612 : x
  2. Step 2: Convert to fraction form
    158,681,650/245,203,612 = 245,203,612/x
  3. Step 3: Cross multiply
    158,681,650x = 245,203,612 × 245,203,612
  4. Step 4: Simplify right side
    158,681,650x = 60,124,811,337,846,544
  5. Step 5: Solve for x
    x = 60,124,811,337,846,544/158,681,650
  6. Step 6: Final answer
    x = 378,902,105.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.