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Finding the Third Proportional to 84,333.38 and 181,173.38

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Solution

The third proportional to 84,333.38 and 181,173.38 is: 389,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,333.38 : 181,173.38 = 181,173.38 : x
  2. Step 2: Convert to fraction form
    84,333.38/181,173.38 = 181,173.38/x
  3. Step 3: Cross multiply
    84,333.38x = 181,173.38 × 181,173.38
  4. Step 4: Simplify right side
    84,333.38x = 32,823,791,808.89
  5. Step 5: Solve for x
    x = 32,823,791,808.89/84,333.38
  6. Step 6: Final answer
    x = 389,214.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.