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Finding the Third Proportional to 85,525.88 and 198,201.94

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Solution

The third proportional to 85,525.88 and 198,201.94 is: 459,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,525.88 : 198,201.94 = 198,201.94 : x
  2. Step 2: Convert to fraction form
    85,525.88/198,201.94 = 198,201.94/x
  3. Step 3: Cross multiply
    85,525.88x = 198,201.94 × 198,201.94
  4. Step 4: Simplify right side
    85,525.88x = 39,284,008,028.75
  5. Step 5: Solve for x
    x = 39,284,008,028.75/85,525.88
  6. Step 6: Final answer
    x = 459,323.08

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.