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Finding the Third Proportional to 84,825.14 and 182,682.42

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Solution

The third proportional to 84,825.14 and 182,682.42 is: 393,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825.14 : 182,682.42 = 182,682.42 : x
  2. Step 2: Convert to fraction form
    84,825.14/182,682.42 = 182,682.42/x
  3. Step 3: Cross multiply
    84,825.14x = 182,682.42 × 182,682.42
  4. Step 4: Simplify right side
    84,825.14x = 33,372,867,262.12
  5. Step 5: Solve for x
    x = 33,372,867,262.12/84,825.14
  6. Step 6: Final answer
    x = 393,431.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.