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Finding the Third Proportional to 109,819,600 and 165,854,874

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Solution

The third proportional to 109,819,600 and 165,854,874 is: 250,482,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,819,600 : 165,854,874 = 165,854,874 : x
  2. Step 2: Convert to fraction form
    109,819,600/165,854,874 = 165,854,874/x
  3. Step 3: Cross multiply
    109,819,600x = 165,854,874 × 165,854,874
  4. Step 4: Simplify right side
    109,819,600x = 27,507,839,229,555,876
  5. Step 5: Solve for x
    x = 27,507,839,229,555,876/109,819,600
  6. Step 6: Final answer
    x = 250,482,056.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.