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Finding the Third Proportional to 89,889 and 193,793

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Solution

The third proportional to 89,889 and 193,793 is: 417,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,889 : 193,793 = 193,793 : x
  2. Step 2: Convert to fraction form
    89,889/193,793 = 193,793/x
  3. Step 3: Cross multiply
    89,889x = 193,793 × 193,793
  4. Step 4: Simplify right side
    89,889x = 37,555,726,849
  5. Step 5: Solve for x
    x = 37,555,726,849/89,889
  6. Step 6: Final answer
    x = 417,801.14

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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.