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Finding the Third Proportional to 40,146.38 and 86,458.88

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Solution

The third proportional to 40,146.38 and 86,458.88 is: 186,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,146.38 : 86,458.88 = 86,458.88 : x
  2. Step 2: Convert to fraction form
    40,146.38/86,458.88 = 86,458.88/x
  3. Step 3: Cross multiply
    40,146.38x = 86,458.88 × 86,458.88
  4. Step 4: Simplify right side
    40,146.38x = 7,475,137,066.27
  5. Step 5: Solve for x
    x = 7,475,137,066.27/40,146.38
  6. Step 6: Final answer
    x = 186,197.06

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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.