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Finding the Third Proportional to 49,819,249 and 107,826,599

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Solution

The third proportional to 49,819,249 and 107,826,599 is: 233,375,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,819,249 : 107,826,599 = 107,826,599 : x
  2. Step 2: Convert to fraction form
    49,819,249/107,826,599 = 107,826,599/x
  3. Step 3: Cross multiply
    49,819,249x = 107,826,599 × 107,826,599
  4. Step 4: Simplify right side
    49,819,249x = 11,626,575,451,906,800
  5. Step 5: Solve for x
    x = 11,626,575,451,906,800/49,819,249
  6. Step 6: Final answer
    x = 233,375,164.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.