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Finding the Third Proportional to 86,523.19 and 179,933.91

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Solution

The third proportional to 86,523.19 and 179,933.91 is: 374,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,523.19 : 179,933.91 = 179,933.91 : x
  2. Step 2: Convert to fraction form
    86,523.19/179,933.91 = 179,933.91/x
  3. Step 3: Cross multiply
    86,523.19x = 179,933.91 × 179,933.91
  4. Step 4: Simplify right side
    86,523.19x = 32,376,210,618.38
  5. Step 5: Solve for x
    x = 32,376,210,618.38/86,523.19
  6. Step 6: Final answer
    x = 374,191.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.