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Finding the Third Proportional to 86,639.63 and 189,585.56

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Solution

The third proportional to 86,639.63 and 189,585.56 is: 414,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,639.63 : 189,585.56 = 189,585.56 : x
  2. Step 2: Convert to fraction form
    86,639.63/189,585.56 = 189,585.56/x
  3. Step 3: Cross multiply
    86,639.63x = 189,585.56 × 189,585.56
  4. Step 4: Simplify right side
    86,639.63x = 35,942,685,508.44
  5. Step 5: Solve for x
    x = 35,942,685,508.44/86,639.63
  6. Step 6: Final answer
    x = 414,852.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.