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Finding the Third Proportional to 86,030 and 189,193

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Solution

The third proportional to 86,030 and 189,193 is: 416,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,030 : 189,193 = 189,193 : x
  2. Step 2: Convert to fraction form
    86,030/189,193 = 189,193/x
  3. Step 3: Cross multiply
    86,030x = 189,193 × 189,193
  4. Step 4: Simplify right side
    86,030x = 35,793,991,249
  5. Step 5: Solve for x
    x = 35,793,991,249/86,030
  6. Step 6: Final answer
    x = 416,064.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.