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Finding the Third Proportional to 40,285.25 and 86,399.25

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Solution

The third proportional to 40,285.25 and 86,399.25 is: 185,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,285.25 : 86,399.25 = 86,399.25 : x
  2. Step 2: Convert to fraction form
    40,285.25/86,399.25 = 86,399.25/x
  3. Step 3: Cross multiply
    40,285.25x = 86,399.25 × 86,399.25
  4. Step 4: Simplify right side
    40,285.25x = 7,464,830,400.56
  5. Step 5: Solve for x
    x = 7,464,830,400.56/40,285.25
  6. Step 6: Final answer
    x = 185,299.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.