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Finding the Third Proportional to 192,125,121.75 and 413,429,195.25

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Solution

The third proportional to 192,125,121.75 and 413,429,195.25 is: 889,647,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,125,121.75 : 413,429,195.25 = 413,429,195.25 : x
  2. Step 2: Convert to fraction form
    192,125,121.75/413,429,195.25 = 413,429,195.25/x
  3. Step 3: Cross multiply
    192,125,121.75x = 413,429,195.25 × 413,429,195.25
  4. Step 4: Simplify right side
    192,125,121.75x = 170,923,699,485,062,624
  5. Step 5: Solve for x
    x = 170,923,699,485,062,624/192,125,121.75
  6. Step 6: Final answer
    x = 889,647,839.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.