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Finding the Third Proportional to 230,198,744 and 481,679,536

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Solution

The third proportional to 230,198,744 and 481,679,536 is: 1,007,890,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,198,744 : 481,679,536 = 481,679,536 : x
  2. Step 2: Convert to fraction form
    230,198,744/481,679,536 = 481,679,536/x
  3. Step 3: Cross multiply
    230,198,744x = 481,679,536 × 481,679,536
  4. Step 4: Simplify right side
    230,198,744x = 232,015,175,401,175,296
  5. Step 5: Solve for x
    x = 232,015,175,401,175,296/230,198,744
  6. Step 6: Final answer
    x = 1,007,890,709.43

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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.