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Finding the Third Proportional to 198,536,416 and 298,014,720

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Solution

The third proportional to 198,536,416 and 298,014,720 is: 447,337,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,536,416 : 298,014,720 = 298,014,720 : x
  2. Step 2: Convert to fraction form
    198,536,416/298,014,720 = 298,014,720/x
  3. Step 3: Cross multiply
    198,536,416x = 298,014,720 × 298,014,720
  4. Step 4: Simplify right side
    198,536,416x = 88,812,773,336,678,400
  5. Step 5: Solve for x
    x = 88,812,773,336,678,400/198,536,416
  6. Step 6: Final answer
    x = 447,337,446.33

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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.