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Finding the Third Proportional to 83,150.44 and 182,396.81

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Solution

The third proportional to 83,150.44 and 182,396.81 is: 400,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,150.44 : 182,396.81 = 182,396.81 : x
  2. Step 2: Convert to fraction form
    83,150.44/182,396.81 = 182,396.81/x
  3. Step 3: Cross multiply
    83,150.44x = 182,396.81 × 182,396.81
  4. Step 4: Simplify right side
    83,150.44x = 33,268,597,210.16
  5. Step 5: Solve for x
    x = 33,268,597,210.16/83,150.44
  6. Step 6: Final answer
    x = 400,101.29

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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.