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Finding the Third Proportional to 83,100.94 and 181,232.44

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Solution

The third proportional to 83,100.94 and 181,232.44 is: 395,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,100.94 : 181,232.44 = 181,232.44 : x
  2. Step 2: Convert to fraction form
    83,100.94/181,232.44 = 181,232.44/x
  3. Step 3: Cross multiply
    83,100.94x = 181,232.44 × 181,232.44
  4. Step 4: Simplify right side
    83,100.94x = 32,845,196,402.19
  5. Step 5: Solve for x
    x = 32,845,196,402.19/83,100.94
  6. Step 6: Final answer
    x = 395,244.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.