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Finding the Third Proportional to 94,685.25 and 203,676

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Solution

The third proportional to 94,685.25 and 203,676 is: 438,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,685.25 : 203,676 = 203,676 : x
  2. Step 2: Convert to fraction form
    94,685.25/203,676 = 203,676/x
  3. Step 3: Cross multiply
    94,685.25x = 203,676 × 203,676
  4. Step 4: Simplify right side
    94,685.25x = 41,483,912,976
  5. Step 5: Solve for x
    x = 41,483,912,976/94,685.25
  6. Step 6: Final answer
    x = 438,124.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.