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Finding the Third Proportional to 49,213,354 and 107,694,850

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Solution

The third proportional to 49,213,354 and 107,694,850 is: 235,671,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,213,354 : 107,694,850 = 107,694,850 : x
  2. Step 2: Convert to fraction form
    49,213,354/107,694,850 = 107,694,850/x
  3. Step 3: Cross multiply
    49,213,354x = 107,694,850 × 107,694,850
  4. Step 4: Simplify right side
    49,213,354x = 11,598,180,716,522,500
  5. Step 5: Solve for x
    x = 11,598,180,716,522,500/49,213,354
  6. Step 6: Final answer
    x = 235,671,413.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.