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Finding the Third Proportional to 41,405.50 and 89,368.13

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Solution

The third proportional to 41,405.50 and 89,368.13 is: 192,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,405.50 : 89,368.13 = 89,368.13 : x
  2. Step 2: Convert to fraction form
    41,405.50/89,368.13 = 89,368.13/x
  3. Step 3: Cross multiply
    41,405.50x = 89,368.13 × 89,368.13
  4. Step 4: Simplify right side
    41,405.50x = 7,986,661,766.02
  5. Step 5: Solve for x
    x = 7,986,661,766.02/41,405.50
  6. Step 6: Final answer
    x = 192,888.91

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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.