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Finding the Third Proportional to 89,964.50 and 193,768.75

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Solution

The third proportional to 89,964.50 and 193,768.75 is: 417,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,964.50 : 193,768.75 = 193,768.75 : x
  2. Step 2: Convert to fraction form
    89,964.50/193,768.75 = 193,768.75/x
  3. Step 3: Cross multiply
    89,964.50x = 193,768.75 × 193,768.75
  4. Step 4: Simplify right side
    89,964.50x = 37,546,328,476.56
  5. Step 5: Solve for x
    x = 37,546,328,476.56/89,964.50
  6. Step 6: Final answer
    x = 417,346.05

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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.