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Finding the Third Proportional to 72,198.84 and 156,985.59

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Solution

The third proportional to 72,198.84 and 156,985.59 is: 341,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198.84 : 156,985.59 = 156,985.59 : x
  2. Step 2: Convert to fraction form
    72,198.84/156,985.59 = 156,985.59/x
  3. Step 3: Cross multiply
    72,198.84x = 156,985.59 × 156,985.59
  4. Step 4: Simplify right side
    72,198.84x = 24,644,476,645.04
  5. Step 5: Solve for x
    x = 24,644,476,645.04/72,198.84
  6. Step 6: Final answer
    x = 341,341.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.