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Finding the Third Proportional to 48,198,859 and 105,962,450

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Solution

The third proportional to 48,198,859 and 105,962,450 is: 232,952,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198,859 : 105,962,450 = 105,962,450 : x
  2. Step 2: Convert to fraction form
    48,198,859/105,962,450 = 105,962,450/x
  3. Step 3: Cross multiply
    48,198,859x = 105,962,450 × 105,962,450
  4. Step 4: Simplify right side
    48,198,859x = 11,228,040,810,002,500
  5. Step 5: Solve for x
    x = 11,228,040,810,002,500/48,198,859
  6. Step 6: Final answer
    x = 232,952,419.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.