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Finding the Third Proportional to 100,948,086 and 219,124,757.25

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Solution

The third proportional to 100,948,086 and 219,124,757.25 is: 475,647,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948,086 : 219,124,757.25 = 219,124,757.25 : x
  2. Step 2: Convert to fraction form
    100,948,086/219,124,757.25 = 219,124,757.25/x
  3. Step 3: Cross multiply
    100,948,086x = 219,124,757.25 × 219,124,757.25
  4. Step 4: Simplify right side
    100,948,086x = 48,015,659,239,871,424
  5. Step 5: Solve for x
    x = 48,015,659,239,871,424/100,948,086
  6. Step 6: Final answer
    x = 475,647,049.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.