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Finding the Third Proportional to 49,387,198 and 106,359,872

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Solution

The third proportional to 49,387,198 and 106,359,872 is: 229,055,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,387,198 : 106,359,872 = 106,359,872 : x
  2. Step 2: Convert to fraction form
    49,387,198/106,359,872 = 106,359,872/x
  3. Step 3: Cross multiply
    49,387,198x = 106,359,872 × 106,359,872
  4. Step 4: Simplify right side
    49,387,198x = 11,312,422,371,856,384
  5. Step 5: Solve for x
    x = 11,312,422,371,856,384/49,387,198
  6. Step 6: Final answer
    x = 229,055,764.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.