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Finding the Third Proportional to 104,141.75 and 215,667.75

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Solution

The third proportional to 104,141.75 and 215,667.75 is: 446,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,141.75 : 215,667.75 = 215,667.75 : x
  2. Step 2: Convert to fraction form
    104,141.75/215,667.75 = 215,667.75/x
  3. Step 3: Cross multiply
    104,141.75x = 215,667.75 × 215,667.75
  4. Step 4: Simplify right side
    104,141.75x = 46,512,578,390.06
  5. Step 5: Solve for x
    x = 46,512,578,390.06/104,141.75
  6. Step 6: Final answer
    x = 446,627.59

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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.