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Finding the Third Proportional to 87,696 and 189,402.75

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Solution

The third proportional to 87,696 and 189,402.75 is: 409,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,696 : 189,402.75 = 189,402.75 : x
  2. Step 2: Convert to fraction form
    87,696/189,402.75 = 189,402.75/x
  3. Step 3: Cross multiply
    87,696x = 189,402.75 × 189,402.75
  4. Step 4: Simplify right side
    87,696x = 35,873,401,707.56
  5. Step 5: Solve for x
    x = 35,873,401,707.56/87,696
  6. Step 6: Final answer
    x = 409,065.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.