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Finding the Third Proportional to 41,181.75 and 89,915.06

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Solution

The third proportional to 41,181.75 and 89,915.06 is: 196,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,181.75 : 89,915.06 = 89,915.06 : x
  2. Step 2: Convert to fraction form
    41,181.75/89,915.06 = 89,915.06/x
  3. Step 3: Cross multiply
    41,181.75x = 89,915.06 × 89,915.06
  4. Step 4: Simplify right side
    41,181.75x = 8,084,718,464.38
  5. Step 5: Solve for x
    x = 8,084,718,464.38/41,181.75
  6. Step 6: Final answer
    x = 196,317.99

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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.