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Finding the Third Proportional to 85,436.02 and 197,791.24

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Solution

The third proportional to 85,436.02 and 197,791.24 is: 457,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,436.02 : 197,791.24 = 197,791.24 : x
  2. Step 2: Convert to fraction form
    85,436.02/197,791.24 = 197,791.24/x
  3. Step 3: Cross multiply
    85,436.02x = 197,791.24 × 197,791.24
  4. Step 4: Simplify right side
    85,436.02x = 39,121,375,486.07
  5. Step 5: Solve for x
    x = 39,121,375,486.07/85,436.02
  6. Step 6: Final answer
    x = 457,902.62

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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.