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Finding the Third Proportional to 91,873,869 and 200,438,481

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Solution

The third proportional to 91,873,869 and 200,438,481 is: 437,290,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,873,869 : 200,438,481 = 200,438,481 : x
  2. Step 2: Convert to fraction form
    91,873,869/200,438,481 = 200,438,481/x
  3. Step 3: Cross multiply
    91,873,869x = 200,438,481 × 200,438,481
  4. Step 4: Simplify right side
    91,873,869x = 40,175,584,665,587,360
  5. Step 5: Solve for x
    x = 40,175,584,665,587,360/91,873,869
  6. Step 6: Final answer
    x = 437,290,658.41

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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.