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Finding the Third Proportional to 120,832,920 and 185,836,794

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Solution

The third proportional to 120,832,920 and 185,836,794 is: 285,810,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832,920 : 185,836,794 = 185,836,794 : x
  2. Step 2: Convert to fraction form
    120,832,920/185,836,794 = 185,836,794/x
  3. Step 3: Cross multiply
    120,832,920x = 185,836,794 × 185,836,794
  4. Step 4: Simplify right side
    120,832,920x = 34,535,314,004,198,436
  5. Step 5: Solve for x
    x = 34,535,314,004,198,436/120,832,920
  6. Step 6: Final answer
    x = 285,810,472.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.