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Finding the Third Proportional to 101,958.75 and 217,581.19

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Solution

The third proportional to 101,958.75 and 217,581.19 is: 464,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958.75 : 217,581.19 = 217,581.19 : x
  2. Step 2: Convert to fraction form
    101,958.75/217,581.19 = 217,581.19/x
  3. Step 3: Cross multiply
    101,958.75x = 217,581.19 × 217,581.19
  4. Step 4: Simplify right side
    101,958.75x = 47,341,573,153.91
  5. Step 5: Solve for x
    x = 47,341,573,153.91/101,958.75
  6. Step 6: Final answer
    x = 464,320.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.