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Finding the Third Proportional to 41,806.13 and 91,147.50

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Solution

The third proportional to 41,806.13 and 91,147.50 is: 198,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,806.13 : 91,147.50 = 91,147.50 : x
  2. Step 2: Convert to fraction form
    41,806.13/91,147.50 = 91,147.50/x
  3. Step 3: Cross multiply
    41,806.13x = 91,147.50 × 91,147.50
  4. Step 4: Simplify right side
    41,806.13x = 8,307,866,756.25
  5. Step 5: Solve for x
    x = 8,307,866,756.25/41,806.13
  6. Step 6: Final answer
    x = 198,723.67

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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.