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Finding the Third Proportional to 89,243 and 193,189

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Solution

The third proportional to 89,243 and 193,189 is: 418,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,243 : 193,189 = 193,189 : x
  2. Step 2: Convert to fraction form
    89,243/193,189 = 193,189/x
  3. Step 3: Cross multiply
    89,243x = 193,189 × 193,189
  4. Step 4: Simplify right side
    89,243x = 37,321,989,721
  5. Step 5: Solve for x
    x = 37,321,989,721/89,243
  6. Step 6: Final answer
    x = 418,206.35

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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.