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Finding the Third Proportional to 49,581,669 and 107,943,198

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Solution

The third proportional to 49,581,669 and 107,943,198 is: 235,000,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,581,669 : 107,943,198 = 107,943,198 : x
  2. Step 2: Convert to fraction form
    49,581,669/107,943,198 = 107,943,198/x
  3. Step 3: Cross multiply
    49,581,669x = 107,943,198 × 107,943,198
  4. Step 4: Simplify right side
    49,581,669x = 11,651,733,994,467,204
  5. Step 5: Solve for x
    x = 11,651,733,994,467,204/49,581,669
  6. Step 6: Final answer
    x = 235,000,842.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.