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Finding the Third Proportional to 89,918 and 194,416

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Solution

The third proportional to 89,918 and 194,416 is: 420,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,918 : 194,416 = 194,416 : x
  2. Step 2: Convert to fraction form
    89,918/194,416 = 194,416/x
  3. Step 3: Cross multiply
    89,918x = 194,416 × 194,416
  4. Step 4: Simplify right side
    89,918x = 37,797,581,056
  5. Step 5: Solve for x
    x = 37,797,581,056/89,918
  6. Step 6: Final answer
    x = 420,356.11

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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.