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Finding the Third Proportional to 111,469,947 and 233,103,693

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Solution

The third proportional to 111,469,947 and 233,103,693 is: 487,461,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,947 : 233,103,693 = 233,103,693 : x
  2. Step 2: Convert to fraction form
    111,469,947/233,103,693 = 233,103,693/x
  3. Step 3: Cross multiply
    111,469,947x = 233,103,693 × 233,103,693
  4. Step 4: Simplify right side
    111,469,947x = 54,337,331,690,238,248
  5. Step 5: Solve for x
    x = 54,337,331,690,238,248/111,469,947
  6. Step 6: Final answer
    x = 487,461,716.39

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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.