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Finding the Third Proportional to 82,824.08 and 181,919.20

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Solution

The third proportional to 82,824.08 and 181,919.20 is: 399,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,824.08 : 181,919.20 = 181,919.20 : x
  2. Step 2: Convert to fraction form
    82,824.08/181,919.20 = 181,919.20/x
  3. Step 3: Cross multiply
    82,824.08x = 181,919.20 × 181,919.20
  4. Step 4: Simplify right side
    82,824.08x = 33,094,594,333.77
  5. Step 5: Solve for x
    x = 33,094,594,333.77/82,824.08
  6. Step 6: Final answer
    x = 399,576.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.