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Finding the Third Proportional to 192,224,107.50 and 419,378,540.25

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Solution

The third proportional to 192,224,107.50 and 419,378,540.25 is: 914,965,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,224,107.50 : 419,378,540.25 = 419,378,540.25 : x
  2. Step 2: Convert to fraction form
    192,224,107.50/419,378,540.25 = 419,378,540.25/x
  3. Step 3: Cross multiply
    192,224,107.50x = 419,378,540.25 × 419,378,540.25
  4. Step 4: Simplify right side
    192,224,107.50x = 175,878,360,022,220,864
  5. Step 5: Solve for x
    x = 175,878,360,022,220,864/192,224,107.50
  6. Step 6: Final answer
    x = 914,965,153.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.