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Finding the Third Proportional to 82,912.50 and 194,894.44

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Solution

The third proportional to 82,912.50 and 194,894.44 is: 458,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.50 : 194,894.44 = 194,894.44 : x
  2. Step 2: Convert to fraction form
    82,912.50/194,894.44 = 194,894.44/x
  3. Step 3: Cross multiply
    82,912.50x = 194,894.44 × 194,894.44
  4. Step 4: Simplify right side
    82,912.50x = 37,983,841,768.44
  5. Step 5: Solve for x
    x = 37,983,841,768.44/82,912.50
  6. Step 6: Final answer
    x = 458,119.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.