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Finding the Third Proportional to 84,837.38 and 182,786.63

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Solution

The third proportional to 84,837.38 and 182,786.63 is: 393,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,837.38 : 182,786.63 = 182,786.63 : x
  2. Step 2: Convert to fraction form
    84,837.38/182,786.63 = 182,786.63/x
  3. Step 3: Cross multiply
    84,837.38x = 182,786.63 × 182,786.63
  4. Step 4: Simplify right side
    84,837.38x = 33,410,950,278.89
  5. Step 5: Solve for x
    x = 33,410,950,278.89/84,837.38
  6. Step 6: Final answer
    x = 393,823.48

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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.