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Finding the Third Proportional to 41,005,481 and 90,196,498

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Solution

The third proportional to 41,005,481 and 90,196,498 is: 198,398,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,005,481 : 90,196,498 = 90,196,498 : x
  2. Step 2: Convert to fraction form
    41,005,481/90,196,498 = 90,196,498/x
  3. Step 3: Cross multiply
    41,005,481x = 90,196,498 × 90,196,498
  4. Step 4: Simplify right side
    41,005,481x = 8,135,408,251,464,004
  5. Step 5: Solve for x
    x = 8,135,408,251,464,004/41,005,481
  6. Step 6: Final answer
    x = 198,398,069.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.