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Finding the Third Proportional to 96,149,443.50 and 195,696,868.50

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Solution

The third proportional to 96,149,443.50 and 195,696,868.50 is: 398,309,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,149,443.50 : 195,696,868.50 = 195,696,868.50 : x
  2. Step 2: Convert to fraction form
    96,149,443.50/195,696,868.50 = 195,696,868.50/x
  3. Step 3: Cross multiply
    96,149,443.50x = 195,696,868.50 × 195,696,868.50
  4. Step 4: Simplify right side
    96,149,443.50x = 38,297,264,340,706,296
  5. Step 5: Solve for x
    x = 38,297,264,340,706,296/96,149,443.50
  6. Step 6: Final answer
    x = 398,309,786.79

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.