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Finding the Third Proportional to 94,842.75 and 198,453.75

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Solution

The third proportional to 94,842.75 and 198,453.75 is: 415,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,842.75 : 198,453.75 = 198,453.75 : x
  2. Step 2: Convert to fraction form
    94,842.75/198,453.75 = 198,453.75/x
  3. Step 3: Cross multiply
    94,842.75x = 198,453.75 × 198,453.75
  4. Step 4: Simplify right side
    94,842.75x = 39,383,890,889.06
  5. Step 5: Solve for x
    x = 39,383,890,889.06/94,842.75
  6. Step 6: Final answer
    x = 415,254.63

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.