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Finding the Third Proportional to 49,883,728 and 107,193,408

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Solution

The third proportional to 49,883,728 and 107,193,408 is: 230,344,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,883,728 : 107,193,408 = 107,193,408 : x
  2. Step 2: Convert to fraction form
    49,883,728/107,193,408 = 107,193,408/x
  3. Step 3: Cross multiply
    49,883,728x = 107,193,408 × 107,193,408
  4. Step 4: Simplify right side
    49,883,728x = 11,490,426,718,654,464
  5. Step 5: Solve for x
    x = 11,490,426,718,654,464/49,883,728
  6. Step 6: Final answer
    x = 230,344,185.96

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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.