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Finding the Third Proportional to 89,986 and 193,796

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Solution

The third proportional to 89,986 and 193,796 is: 417,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,986 : 193,796 = 193,796 : x
  2. Step 2: Convert to fraction form
    89,986/193,796 = 193,796/x
  3. Step 3: Cross multiply
    89,986x = 193,796 × 193,796
  4. Step 4: Simplify right side
    89,986x = 37,556,889,616
  5. Step 5: Solve for x
    x = 37,556,889,616/89,986
  6. Step 6: Final answer
    x = 417,363.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.