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Finding the Third Proportional to 86,837 and 189,226

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Solution

The third proportional to 86,837 and 189,226 is: 412,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,837 : 189,226 = 189,226 : x
  2. Step 2: Convert to fraction form
    86,837/189,226 = 189,226/x
  3. Step 3: Cross multiply
    86,837x = 189,226 × 189,226
  4. Step 4: Simplify right side
    86,837x = 35,806,479,076
  5. Step 5: Solve for x
    x = 35,806,479,076/86,837
  6. Step 6: Final answer
    x = 412,341.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.