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Finding the Third Proportional to 111,469,807 and 233,103,422

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Solution

The third proportional to 111,469,807 and 233,103,422 is: 487,461,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,807 : 233,103,422 = 233,103,422 : x
  2. Step 2: Convert to fraction form
    111,469,807/233,103,422 = 233,103,422/x
  3. Step 3: Cross multiply
    111,469,807x = 233,103,422 × 233,103,422
  4. Step 4: Simplify right side
    111,469,807x = 54,337,205,348,110,080
  5. Step 5: Solve for x
    x = 54,337,205,348,110,080/111,469,807
  6. Step 6: Final answer
    x = 487,461,195.19

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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.