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Finding the Third Proportional to 198,536,418 and 298,014,723

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Solution

The third proportional to 198,536,418 and 298,014,723 is: 447,337,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,536,418 : 298,014,723 = 298,014,723 : x
  2. Step 2: Convert to fraction form
    198,536,418/298,014,723 = 298,014,723/x
  3. Step 3: Cross multiply
    198,536,418x = 298,014,723 × 298,014,723
  4. Step 4: Simplify right side
    198,536,418x = 88,812,775,124,766,736
  5. Step 5: Solve for x
    x = 88,812,775,124,766,736/198,536,418
  6. Step 6: Final answer
    x = 447,337,450.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.