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Finding the Third Proportional to 45,936,939 and 100,219,249

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Solution

The third proportional to 45,936,939 and 100,219,249 is: 218,645,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,936,939 : 100,219,249 = 100,219,249 : x
  2. Step 2: Convert to fraction form
    45,936,939/100,219,249 = 100,219,249/x
  3. Step 3: Cross multiply
    45,936,939x = 100,219,249 × 100,219,249
  4. Step 4: Simplify right side
    45,936,939x = 10,043,897,870,124,000
  5. Step 5: Solve for x
    x = 10,043,897,870,124,000/45,936,939
  6. Step 6: Final answer
    x = 218,645,344.87

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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.