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Finding the Third Proportional to 86,695.50 and 189,267

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Solution

The third proportional to 86,695.50 and 189,267 is: 413,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,695.50 : 189,267 = 189,267 : x
  2. Step 2: Convert to fraction form
    86,695.50/189,267 = 189,267/x
  3. Step 3: Cross multiply
    86,695.50x = 189,267 × 189,267
  4. Step 4: Simplify right side
    86,695.50x = 35,821,997,289
  5. Step 5: Solve for x
    x = 35,821,997,289/86,695.50
  6. Step 6: Final answer
    x = 413,193.27

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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.