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Finding the Third Proportional to 84,214.69 and 182,593.62

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Solution

The third proportional to 84,214.69 and 182,593.62 is: 395,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,214.69 : 182,593.62 = 182,593.62 : x
  2. Step 2: Convert to fraction form
    84,214.69/182,593.62 = 182,593.62/x
  3. Step 3: Cross multiply
    84,214.69x = 182,593.62 × 182,593.62
  4. Step 4: Simplify right side
    84,214.69x = 33,340,429,037.62
  5. Step 5: Solve for x
    x = 33,340,429,037.62/84,214.69
  6. Step 6: Final answer
    x = 395,898.03

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Why These Related Problems?

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