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Finding the Third Proportional to 41,644.13 and 89,940.38

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Solution

The third proportional to 41,644.13 and 89,940.38 is: 194,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644.13 : 89,940.38 = 89,940.38 : x
  2. Step 2: Convert to fraction form
    41,644.13/89,940.38 = 89,940.38/x
  3. Step 3: Cross multiply
    41,644.13x = 89,940.38 × 89,940.38
  4. Step 4: Simplify right side
    41,644.13x = 8,089,271,055.14
  5. Step 5: Solve for x
    x = 8,089,271,055.14/41,644.13
  6. Step 6: Final answer
    x = 194,247.59

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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.