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Finding the Third Proportional to 99,629,634 and 218,873,256

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Solution

The third proportional to 99,629,634 and 218,873,256 is: 480,835,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,629,634 : 218,873,256 = 218,873,256 : x
  2. Step 2: Convert to fraction form
    99,629,634/218,873,256 = 218,873,256/x
  3. Step 3: Cross multiply
    99,629,634x = 218,873,256 × 218,873,256
  4. Step 4: Simplify right side
    99,629,634x = 47,905,502,192,041,536
  5. Step 5: Solve for x
    x = 47,905,502,192,041,536/99,629,634
  6. Step 6: Final answer
    x = 480,835,874.52

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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.