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Finding the Third Proportional to 36,404.44 and 86,056.17

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Solution

The third proportional to 36,404.44 and 86,056.17 is: 203,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,404.44 : 86,056.17 = 86,056.17 : x
  2. Step 2: Convert to fraction form
    36,404.44/86,056.17 = 86,056.17/x
  3. Step 3: Cross multiply
    36,404.44x = 86,056.17 × 86,056.17
  4. Step 4: Simplify right side
    36,404.44x = 7,405,664,717.78
  5. Step 5: Solve for x
    x = 7,405,664,717.78/36,404.44
  6. Step 6: Final answer
    x = 203,427.53

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.