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Finding the Third Proportional to 91,873,863 and 200,438,469

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Solution

The third proportional to 91,873,863 and 200,438,469 is: 437,290,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,873,863 : 200,438,469 = 200,438,469 : x
  2. Step 2: Convert to fraction form
    91,873,863/200,438,469 = 200,438,469/x
  3. Step 3: Cross multiply
    91,873,863x = 200,438,469 × 200,438,469
  4. Step 4: Simplify right side
    91,873,863x = 40,175,579,855,063,960
  5. Step 5: Solve for x
    x = 40,175,579,855,063,960/91,873,863
  6. Step 6: Final answer
    x = 437,290,634.61

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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.