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Finding the Third Proportional to 198,536,426 and 298,014,735

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Solution

The third proportional to 198,536,426 and 298,014,735 is: 447,337,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,536,426 : 298,014,735 = 298,014,735 : x
  2. Step 2: Convert to fraction form
    198,536,426/298,014,735 = 298,014,735/x
  3. Step 3: Cross multiply
    198,536,426x = 298,014,735 × 298,014,735
  4. Step 4: Simplify right side
    198,536,426x = 88,812,782,277,120,224
  5. Step 5: Solve for x
    x = 88,812,782,277,120,224/198,536,426
  6. Step 6: Final answer
    x = 447,337,468.83

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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.