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Finding the Third Proportional to 154,150,498 and 225,437,739

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Solution

The third proportional to 154,150,498 and 225,437,739 is: 329,691,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,150,498 : 225,437,739 = 225,437,739 : x
  2. Step 2: Convert to fraction form
    154,150,498/225,437,739 = 225,437,739/x
  3. Step 3: Cross multiply
    154,150,498x = 225,437,739 × 225,437,739
  4. Step 4: Simplify right side
    154,150,498x = 50,822,174,165,432,120
  5. Step 5: Solve for x
    x = 50,822,174,165,432,120/154,150,498
  6. Step 6: Final answer
    x = 329,691,923.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.