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Finding the Third Proportional to 192,304,800 and 453,504,096

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Solution

The third proportional to 192,304,800 and 453,504,096 is: 1,069,479,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,304,800 : 453,504,096 = 453,504,096 : x
  2. Step 2: Convert to fraction form
    192,304,800/453,504,096 = 453,504,096/x
  3. Step 3: Cross multiply
    192,304,800x = 453,504,096 × 453,504,096
  4. Step 4: Simplify right side
    192,304,800x = 205,665,965,088,777,216
  5. Step 5: Solve for x
    x = 205,665,965,088,777,216/192,304,800
  6. Step 6: Final answer
    x = 1,069,479,103.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.