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Finding the Third Proportional to 82,902.87 and 177,634.90

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Solution

The third proportional to 82,902.87 and 177,634.90 is: 380,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902.87 : 177,634.90 = 177,634.90 : x
  2. Step 2: Convert to fraction form
    82,902.87/177,634.90 = 177,634.90/x
  3. Step 3: Cross multiply
    82,902.87x = 177,634.90 × 177,634.90
  4. Step 4: Simplify right side
    82,902.87x = 31,554,157,142.90
  5. Step 5: Solve for x
    x = 31,554,157,142.90/82,902.87
  6. Step 6: Final answer
    x = 380,615.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.