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Finding the Third Proportional to 128,509,380.75 and 195,777,198.75

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Solution

The third proportional to 128,509,380.75 and 195,777,198.75 is: 298,256,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,509,380.75 : 195,777,198.75 = 195,777,198.75 : x
  2. Step 2: Convert to fraction form
    128,509,380.75/195,777,198.75 = 195,777,198.75/x
  3. Step 3: Cross multiply
    128,509,380.75x = 195,777,198.75 × 195,777,198.75
  4. Step 4: Simplify right side
    128,509,380.75x = 38,328,711,550,397,000
  5. Step 5: Solve for x
    x = 38,328,711,550,397,000/128,509,380.75
  6. Step 6: Final answer
    x = 298,256,137.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.