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Finding the Third Proportional to 89,764 and 191,191

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Solution

The third proportional to 89,764 and 191,191 is: 407,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,764 : 191,191 = 191,191 : x
  2. Step 2: Convert to fraction form
    89,764/191,191 = 191,191/x
  3. Step 3: Cross multiply
    89,764x = 191,191 × 191,191
  4. Step 4: Simplify right side
    89,764x = 36,553,998,481
  5. Step 5: Solve for x
    x = 36,553,998,481/89,764
  6. Step 6: Final answer
    x = 407,223.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.