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Finding the Third Proportional to 89,930.53 and 194,270.06

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Solution

The third proportional to 89,930.53 and 194,270.06 is: 419,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,930.53 : 194,270.06 = 194,270.06 : x
  2. Step 2: Convert to fraction form
    89,930.53/194,270.06 = 194,270.06/x
  3. Step 3: Cross multiply
    89,930.53x = 194,270.06 × 194,270.06
  4. Step 4: Simplify right side
    89,930.53x = 37,740,857,183.75
  5. Step 5: Solve for x
    x = 37,740,857,183.75/89,930.53
  6. Step 6: Final answer
    x = 419,666.79

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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.