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Finding the Third Proportional to 41,836.50 and 89,920.13

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Solution

The third proportional to 41,836.50 and 89,920.13 is: 193,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,836.50 : 89,920.13 = 89,920.13 : x
  2. Step 2: Convert to fraction form
    41,836.50/89,920.13 = 89,920.13/x
  3. Step 3: Cross multiply
    41,836.50x = 89,920.13 × 89,920.13
  4. Step 4: Simplify right side
    41,836.50x = 8,085,628,880.02
  5. Step 5: Solve for x
    x = 8,085,628,880.02/41,836.50
  6. Step 6: Final answer
    x = 193,267.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.