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Finding the Third Proportional to 89,334 and 189,036

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Solution

The third proportional to 89,334 and 189,036 is: 400,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,334 : 189,036 = 189,036 : x
  2. Step 2: Convert to fraction form
    89,334/189,036 = 189,036/x
  3. Step 3: Cross multiply
    89,334x = 189,036 × 189,036
  4. Step 4: Simplify right side
    89,334x = 35,734,609,296
  5. Step 5: Solve for x
    x = 35,734,609,296/89,334
  6. Step 6: Final answer
    x = 400,011.30

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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.