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Finding the Third Proportional to 41,553 and 91,408.50

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Solution

The third proportional to 41,553 and 91,408.50 is: 201,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,553 : 91,408.50 = 91,408.50 : x
  2. Step 2: Convert to fraction form
    41,553/91,408.50 = 91,408.50/x
  3. Step 3: Cross multiply
    41,553x = 91,408.50 × 91,408.50
  4. Step 4: Simplify right side
    41,553x = 8,355,513,872.25
  5. Step 5: Solve for x
    x = 8,355,513,872.25/41,553
  6. Step 6: Final answer
    x = 201,080.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.