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Finding the Third Proportional to 86,027.63 and 185,236.88

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Solution

The third proportional to 86,027.63 and 185,236.88 is: 398,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,027.63 : 185,236.88 = 185,236.88 : x
  2. Step 2: Convert to fraction form
    86,027.63/185,236.88 = 185,236.88/x
  3. Step 3: Cross multiply
    86,027.63x = 185,236.88 × 185,236.88
  4. Step 4: Simplify right side
    86,027.63x = 34,312,699,859.77
  5. Step 5: Solve for x
    x = 34,312,699,859.77/86,027.63
  6. Step 6: Final answer
    x = 398,856.76

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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.