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Finding the Third Proportional to 75,951.84 and 166,198.50

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Solution

The third proportional to 75,951.84 and 166,198.50 is: 363,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,951.84 : 166,198.50 = 166,198.50 : x
  2. Step 2: Convert to fraction form
    75,951.84/166,198.50 = 166,198.50/x
  3. Step 3: Cross multiply
    75,951.84x = 166,198.50 × 166,198.50
  4. Step 4: Simplify right side
    75,951.84x = 27,621,941,402.25
  5. Step 5: Solve for x
    x = 27,621,941,402.25/75,951.84
  6. Step 6: Final answer
    x = 363,677.04

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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.