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Finding the Third Proportional to 82,809.84 and 181,338.75

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Solution

The third proportional to 82,809.84 and 181,338.75 is: 397,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.84 : 181,338.75 = 181,338.75 : x
  2. Step 2: Convert to fraction form
    82,809.84/181,338.75 = 181,338.75/x
  3. Step 3: Cross multiply
    82,809.84x = 181,338.75 × 181,338.75
  4. Step 4: Simplify right side
    82,809.84x = 32,883,742,251.56
  5. Step 5: Solve for x
    x = 32,883,742,251.56/82,809.84
  6. Step 6: Final answer
    x = 397,099.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.