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Finding the Third Proportional to 86,505.38 and 185,942.63

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Solution

The third proportional to 86,505.38 and 185,942.63 is: 399,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,505.38 : 185,942.63 = 185,942.63 : x
  2. Step 2: Convert to fraction form
    86,505.38/185,942.63 = 185,942.63/x
  3. Step 3: Cross multiply
    86,505.38x = 185,942.63 × 185,942.63
  4. Step 4: Simplify right side
    86,505.38x = 34,574,659,791.89
  5. Step 5: Solve for x
    x = 34,574,659,791.89/86,505.38
  6. Step 6: Final answer
    x = 399,682.21

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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.