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Finding the Third Proportional to 86,744 and 189,214

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Solution

The third proportional to 86,744 and 189,214 is: 412,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,744 : 189,214 = 189,214 : x
  2. Step 2: Convert to fraction form
    86,744/189,214 = 189,214/x
  3. Step 3: Cross multiply
    86,744x = 189,214 × 189,214
  4. Step 4: Simplify right side
    86,744x = 35,801,937,796
  5. Step 5: Solve for x
    x = 35,801,937,796/86,744
  6. Step 6: Final answer
    x = 412,731.00

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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.