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Finding the Third Proportional to 20,198.25 and 44,068.50

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Solution

The third proportional to 20,198.25 and 44,068.50 is: 96,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.25 : 44,068.50 = 44,068.50 : x
  2. Step 2: Convert to fraction form
    20,198.25/44,068.50 = 44,068.50/x
  3. Step 3: Cross multiply
    20,198.25x = 44,068.50 × 44,068.50
  4. Step 4: Simplify right side
    20,198.25x = 1,942,032,692.25
  5. Step 5: Solve for x
    x = 1,942,032,692.25/20,198.25
  6. Step 6: Final answer
    x = 96,148.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.