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Finding the Third Proportional to 40,150.88 and 86,468.25

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Solution

The third proportional to 40,150.88 and 86,468.25 is: 186,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,150.88 : 86,468.25 = 86,468.25 : x
  2. Step 2: Convert to fraction form
    40,150.88/86,468.25 = 86,468.25/x
  3. Step 3: Cross multiply
    40,150.88x = 86,468.25 × 86,468.25
  4. Step 4: Simplify right side
    40,150.88x = 7,476,758,258.06
  5. Step 5: Solve for x
    x = 7,476,758,258.06/40,150.88
  6. Step 6: Final answer
    x = 186,216.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.