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Finding the Third Proportional to 88,224 and 192,309

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Solution

The third proportional to 88,224 and 192,309 is: 419,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,224 : 192,309 = 192,309 : x
  2. Step 2: Convert to fraction form
    88,224/192,309 = 192,309/x
  3. Step 3: Cross multiply
    88,224x = 192,309 × 192,309
  4. Step 4: Simplify right side
    88,224x = 36,982,751,481
  5. Step 5: Solve for x
    x = 36,982,751,481/88,224
  6. Step 6: Final answer
    x = 419,191.51

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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.