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Finding the Third Proportional to 41,859 and 91,099.50

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Solution

The third proportional to 41,859 and 91,099.50 is: 198,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,859 : 91,099.50 = 91,099.50 : x
  2. Step 2: Convert to fraction form
    41,859/91,099.50 = 91,099.50/x
  3. Step 3: Cross multiply
    41,859x = 91,099.50 × 91,099.50
  4. Step 4: Simplify right side
    41,859x = 8,299,118,900.25
  5. Step 5: Solve for x
    x = 8,299,118,900.25/41,859
  6. Step 6: Final answer
    x = 198,263.67

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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.