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Finding the Third Proportional to 41,644.13 and 90,679.50

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Solution

The third proportional to 41,644.13 and 90,679.50 is: 197,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644.13 : 90,679.50 = 90,679.50 : x
  2. Step 2: Convert to fraction form
    41,644.13/90,679.50 = 90,679.50/x
  3. Step 3: Cross multiply
    41,644.13x = 90,679.50 × 90,679.50
  4. Step 4: Simplify right side
    41,644.13x = 8,222,771,720.25
  5. Step 5: Solve for x
    x = 8,222,771,720.25/41,644.13
  6. Step 6: Final answer
    x = 197,453.34

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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.