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Finding the Third Proportional to 49,883,732 and 107,193,416

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Solution

The third proportional to 49,883,732 and 107,193,416 is: 230,344,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,883,732 : 107,193,416 = 107,193,416 : x
  2. Step 2: Convert to fraction form
    49,883,732/107,193,416 = 107,193,416/x
  3. Step 3: Cross multiply
    49,883,732x = 107,193,416 × 107,193,416
  4. Step 4: Simplify right side
    49,883,732x = 11,490,428,433,749,056
  5. Step 5: Solve for x
    x = 11,490,428,433,749,056/49,883,732
  6. Step 6: Final answer
    x = 230,344,201.87

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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.