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Finding the Third Proportional to 96,963,086 and 209,309,530

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Solution

The third proportional to 96,963,086 and 209,309,530 is: 451,826,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,963,086 : 209,309,530 = 209,309,530 : x
  2. Step 2: Convert to fraction form
    96,963,086/209,309,530 = 209,309,530/x
  3. Step 3: Cross multiply
    96,963,086x = 209,309,530 × 209,309,530
  4. Step 4: Simplify right side
    96,963,086x = 43,810,479,348,820,896
  5. Step 5: Solve for x
    x = 43,810,479,348,820,896/96,963,086
  6. Step 6: Final answer
    x = 451,826,371.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.