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Finding the Third Proportional to 41,368.22 and 89,296.17

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Solution

The third proportional to 41,368.22 and 89,296.17 is: 192,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,368.22 : 89,296.17 = 89,296.17 : x
  2. Step 2: Convert to fraction form
    41,368.22/89,296.17 = 89,296.17/x
  3. Step 3: Cross multiply
    41,368.22x = 89,296.17 × 89,296.17
  4. Step 4: Simplify right side
    41,368.22x = 7,973,806,311.53
  5. Step 5: Solve for x
    x = 7,973,806,311.53/41,368.22
  6. Step 6: Final answer
    x = 192,751.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.