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Finding the Third Proportional to 41,005,476 and 90,196,488

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Solution

The third proportional to 41,005,476 and 90,196,488 is: 198,398,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,005,476 : 90,196,488 = 90,196,488 : x
  2. Step 2: Convert to fraction form
    41,005,476/90,196,488 = 90,196,488/x
  3. Step 3: Cross multiply
    41,005,476x = 90,196,488 × 90,196,488
  4. Step 4: Simplify right side
    41,005,476x = 8,135,406,447,534,144
  5. Step 5: Solve for x
    x = 8,135,406,447,534,144/41,005,476
  6. Step 6: Final answer
    x = 198,398,049.26

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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.