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Finding the Third Proportional to 84,131.16 and 179,926.31

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Solution

The third proportional to 84,131.16 and 179,926.31 is: 384,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,131.16 : 179,926.31 = 179,926.31 : x
  2. Step 2: Convert to fraction form
    84,131.16/179,926.31 = 179,926.31/x
  3. Step 3: Cross multiply
    84,131.16x = 179,926.31 × 179,926.31
  4. Step 4: Simplify right side
    84,131.16x = 32,373,477,929.85
  5. Step 5: Solve for x
    x = 32,373,477,929.85/84,131.16
  6. Step 6: Final answer
    x = 384,797.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.