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Finding the Third Proportional to 82,241.16 and 170,944.59

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Solution

The third proportional to 82,241.16 and 170,944.59 is: 355,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,241.16 : 170,944.59 = 170,944.59 : x
  2. Step 2: Convert to fraction form
    82,241.16/170,944.59 = 170,944.59/x
  3. Step 3: Cross multiply
    82,241.16x = 170,944.59 × 170,944.59
  4. Step 4: Simplify right side
    82,241.16x = 29,222,054,132.35
  5. Step 5: Solve for x
    x = 29,222,054,132.35/82,241.16
  6. Step 6: Final answer
    x = 355,321.54

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.