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Finding the Third Proportional to 89,101.27 and 189,331.17

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Solution

The third proportional to 89,101.27 and 189,331.17 is: 402,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,101.27 : 189,331.17 = 189,331.17 : x
  2. Step 2: Convert to fraction form
    89,101.27/189,331.17 = 189,331.17/x
  3. Step 3: Cross multiply
    89,101.27x = 189,331.17 × 189,331.17
  4. Step 4: Simplify right side
    89,101.27x = 35,846,292,643.56
  5. Step 5: Solve for x
    x = 35,846,292,643.56/89,101.27
  6. Step 6: Final answer
    x = 402,309.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.