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Finding the Third Proportional to 45,284,260 and 99,464,734

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Solution

The third proportional to 45,284,260 and 99,464,734 is: 218,469,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284,260 : 99,464,734 = 99,464,734 : x
  2. Step 2: Convert to fraction form
    45,284,260/99,464,734 = 99,464,734/x
  3. Step 3: Cross multiply
    45,284,260x = 99,464,734 × 99,464,734
  4. Step 4: Simplify right side
    45,284,260x = 9,893,233,309,690,756
  5. Step 5: Solve for x
    x = 9,893,233,309,690,756/45,284,260
  6. Step 6: Final answer
    x = 218,469,581.04

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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.