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Finding the Third Proportional to 82,700.75 and 179,404.38

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Solution

The third proportional to 82,700.75 and 179,404.38 is: 389,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,700.75 : 179,404.38 = 179,404.38 : x
  2. Step 2: Convert to fraction form
    82,700.75/179,404.38 = 179,404.38/x
  3. Step 3: Cross multiply
    82,700.75x = 179,404.38 × 179,404.38
  4. Step 4: Simplify right side
    82,700.75x = 32,185,929,769.14
  5. Step 5: Solve for x
    x = 32,185,929,769.14/82,700.75
  6. Step 6: Final answer
    x = 389,185.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.