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Finding the Third Proportional to 93,531.75 and 204,559.50

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Solution

The third proportional to 93,531.75 and 204,559.50 is: 447,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,531.75 : 204,559.50 = 204,559.50 : x
  2. Step 2: Convert to fraction form
    93,531.75/204,559.50 = 204,559.50/x
  3. Step 3: Cross multiply
    93,531.75x = 204,559.50 × 204,559.50
  4. Step 4: Simplify right side
    93,531.75x = 41,844,589,040.25
  5. Step 5: Solve for x
    x = 41,844,589,040.25/93,531.75
  6. Step 6: Final answer
    x = 447,383.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.