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Finding the Third Proportional to 111,469,845 and 233,103,489

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Solution

The third proportional to 111,469,845 and 233,103,489 is: 487,461,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,845 : 233,103,489 = 233,103,489 : x
  2. Step 2: Convert to fraction form
    111,469,845/233,103,489 = 233,103,489/x
  3. Step 3: Cross multiply
    111,469,845x = 233,103,489 × 233,103,489
  4. Step 4: Simplify right side
    111,469,845x = 54,337,236,583,973,120
  5. Step 5: Solve for x
    x = 54,337,236,583,973,120/111,469,845
  6. Step 6: Final answer
    x = 487,461,309.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.