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Finding the Third Proportional to 86,594.06 and 186,082.31

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Solution

The third proportional to 86,594.06 and 186,082.31 is: 399,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,594.06 : 186,082.31 = 186,082.31 : x
  2. Step 2: Convert to fraction form
    86,594.06/186,082.31 = 186,082.31/x
  3. Step 3: Cross multiply
    86,594.06x = 186,082.31 × 186,082.31
  4. Step 4: Simplify right side
    86,594.06x = 34,626,627,025.35
  5. Step 5: Solve for x
    x = 34,626,627,025.35/86,594.06
  6. Step 6: Final answer
    x = 399,872.99

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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.