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Finding the Third Proportional to 104,140.25 and 215,664.75

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Solution

The third proportional to 104,140.25 and 215,664.75 is: 446,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,140.25 : 215,664.75 = 215,664.75 : x
  2. Step 2: Convert to fraction form
    104,140.25/215,664.75 = 215,664.75/x
  3. Step 3: Cross multiply
    104,140.25x = 215,664.75 × 215,664.75
  4. Step 4: Simplify right side
    104,140.25x = 46,511,284,392.56
  5. Step 5: Solve for x
    x = 46,511,284,392.56/104,140.25
  6. Step 6: Final answer
    x = 446,621.59

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.