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Finding the Third Proportional to 84,322.69 and 179,569.41

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Solution

The third proportional to 84,322.69 and 179,569.41 is: 382,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,322.69 : 179,569.41 = 179,569.41 : x
  2. Step 2: Convert to fraction form
    84,322.69/179,569.41 = 179,569.41/x
  3. Step 3: Cross multiply
    84,322.69x = 179,569.41 × 179,569.41
  4. Step 4: Simplify right side
    84,322.69x = 32,245,171,660.98
  5. Step 5: Solve for x
    x = 32,245,171,660.98/84,322.69
  6. Step 6: Final answer
    x = 382,402.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.