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Finding the Third Proportional to 45,387.50 and 99,734

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Solution

The third proportional to 45,387.50 and 99,734 is: 219,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,387.50 : 99,734 = 99,734 : x
  2. Step 2: Convert to fraction form
    45,387.50/99,734 = 99,734/x
  3. Step 3: Cross multiply
    45,387.50x = 99,734 × 99,734
  4. Step 4: Simplify right side
    45,387.50x = 9,946,870,756
  5. Step 5: Solve for x
    x = 9,946,870,756/45,387.50
  6. Step 6: Final answer
    x = 219,154.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.