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Finding the Third Proportional to 41,652.56 and 90,696.38

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Solution

The third proportional to 41,652.56 and 90,696.38 is: 197,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,652.56 : 90,696.38 = 90,696.38 : x
  2. Step 2: Convert to fraction form
    41,652.56/90,696.38 = 90,696.38/x
  3. Step 3: Cross multiply
    41,652.56x = 90,696.38 × 90,696.38
  4. Step 4: Simplify right side
    41,652.56x = 8,225,832,438.14
  5. Step 5: Solve for x
    x = 8,225,832,438.14/41,652.56
  6. Step 6: Final answer
    x = 197,486.83

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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.