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Finding the Third Proportional to 99,792.75 and 218,022.75

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Solution

The third proportional to 99,792.75 and 218,022.75 is: 476,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792.75 : 218,022.75 = 218,022.75 : x
  2. Step 2: Convert to fraction form
    99,792.75/218,022.75 = 218,022.75/x
  3. Step 3: Cross multiply
    99,792.75x = 218,022.75 × 218,022.75
  4. Step 4: Simplify right side
    99,792.75x = 47,533,919,517.56
  5. Step 5: Solve for x
    x = 47,533,919,517.56/99,792.75
  6. Step 6: Final answer
    x = 476,326.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.