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Finding the Third Proportional to 226,271,872 and 345,986,856

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Solution

The third proportional to 226,271,872 and 345,986,856 is: 529,040,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,271,872 : 345,986,856 = 345,986,856 : x
  2. Step 2: Convert to fraction form
    226,271,872/345,986,856 = 345,986,856/x
  3. Step 3: Cross multiply
    226,271,872x = 345,986,856 × 345,986,856
  4. Step 4: Simplify right side
    226,271,872x = 119,706,904,524,764,736
  5. Step 5: Solve for x
    x = 119,706,904,524,764,736/226,271,872
  6. Step 6: Final answer
    x = 529,040,147.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.