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Finding the Third Proportional to 211,268,676 and 451,612,216

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Solution

The third proportional to 211,268,676 and 451,612,216 is: 965,375,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,268,676 : 451,612,216 = 451,612,216 : x
  2. Step 2: Convert to fraction form
    211,268,676/451,612,216 = 451,612,216/x
  3. Step 3: Cross multiply
    211,268,676x = 451,612,216 × 451,612,216
  4. Step 4: Simplify right side
    211,268,676x = 203,953,593,640,430,656
  5. Step 5: Solve for x
    x = 203,953,593,640,430,656/211,268,676
  6. Step 6: Final answer
    x = 965,375,452.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.