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Finding the Third Proportional to 89,333 and 189,034

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Solution

The third proportional to 89,333 and 189,034 is: 400,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,333 : 189,034 = 189,034 : x
  2. Step 2: Convert to fraction form
    89,333/189,034 = 189,034/x
  3. Step 3: Cross multiply
    89,333x = 189,034 × 189,034
  4. Step 4: Simplify right side
    89,333x = 35,733,853,156
  5. Step 5: Solve for x
    x = 35,733,853,156/89,333
  6. Step 6: Final answer
    x = 400,007.31

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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.