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Finding the Third Proportional to 84,221.44 and 182,607.19

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Solution

The third proportional to 84,221.44 and 182,607.19 is: 395,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,221.44 : 182,607.19 = 182,607.19 : x
  2. Step 2: Convert to fraction form
    84,221.44/182,607.19 = 182,607.19/x
  3. Step 3: Cross multiply
    84,221.44x = 182,607.19 × 182,607.19
  4. Step 4: Simplify right side
    84,221.44x = 33,345,384,926.66
  5. Step 5: Solve for x
    x = 33,345,384,926.66/84,221.44
  6. Step 6: Final answer
    x = 395,925.15

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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.