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Finding the Third Proportional to 41,005,488 and 90,196,512

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Solution

The third proportional to 41,005,488 and 90,196,512 is: 198,398,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,005,488 : 90,196,512 = 90,196,512 : x
  2. Step 2: Convert to fraction form
    41,005,488/90,196,512 = 90,196,512/x
  3. Step 3: Cross multiply
    41,005,488x = 90,196,512 × 90,196,512
  4. Step 4: Simplify right side
    41,005,488x = 8,135,410,776,966,144
  5. Step 5: Solve for x
    x = 8,135,410,776,966,144/41,005,488
  6. Step 6: Final answer
    x = 198,398,096.79

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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.