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Finding the Third Proportional to 192,468,198 and 449,107,983

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Solution

The third proportional to 192,468,198 and 449,107,983 is: 1,047,954,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468,198 : 449,107,983 = 449,107,983 : x
  2. Step 2: Convert to fraction form
    192,468,198/449,107,983 = 449,107,983/x
  3. Step 3: Cross multiply
    192,468,198x = 449,107,983 × 449,107,983
  4. Step 4: Simplify right side
    192,468,198x = 201,697,980,394,328,288
  5. Step 5: Solve for x
    x = 201,697,980,394,328,288/192,468,198
  6. Step 6: Final answer
    x = 1,047,954,843.92

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.