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Finding the Third Proportional to 94,910.06 and 206,427.94

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Solution

The third proportional to 94,910.06 and 206,427.94 is: 448,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,910.06 : 206,427.94 = 206,427.94 : x
  2. Step 2: Convert to fraction form
    94,910.06/206,427.94 = 206,427.94/x
  3. Step 3: Cross multiply
    94,910.06x = 206,427.94 × 206,427.94
  4. Step 4: Simplify right side
    94,910.06x = 42,612,493,380.50
  5. Step 5: Solve for x
    x = 42,612,493,380.50/94,910.06
  6. Step 6: Final answer
    x = 448,977.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.