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Finding the Third Proportional to 89,418 and 193,356

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Solution

The third proportional to 89,418 and 193,356 is: 418,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,418 : 193,356 = 193,356 : x
  2. Step 2: Convert to fraction form
    89,418/193,356 = 193,356/x
  3. Step 3: Cross multiply
    89,418x = 193,356 × 193,356
  4. Step 4: Simplify right side
    89,418x = 37,386,542,736
  5. Step 5: Solve for x
    x = 37,386,542,736/89,418
  6. Step 6: Final answer
    x = 418,109.81

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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.