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Finding the Third Proportional to 48,198,922.50 and 106,175,517

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Solution

The third proportional to 48,198,922.50 and 106,175,517 is: 233,889,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198,922.50 : 106,175,517 = 106,175,517 : x
  2. Step 2: Convert to fraction form
    48,198,922.50/106,175,517 = 106,175,517/x
  3. Step 3: Cross multiply
    48,198,922.50x = 106,175,517 × 106,175,517
  4. Step 4: Simplify right side
    48,198,922.50x = 11,273,240,410,217,288
  5. Step 5: Solve for x
    x = 11,273,240,410,217,288/48,198,922.50
  6. Step 6: Final answer
    x = 233,889,884.37

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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.