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Finding the Third Proportional to 86,024.44 and 189,544.78

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Solution

The third proportional to 86,024.44 and 189,544.78 is: 417,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,024.44 : 189,544.78 = 189,544.78 : x
  2. Step 2: Convert to fraction form
    86,024.44/189,544.78 = 189,544.78/x
  3. Step 3: Cross multiply
    86,024.44x = 189,544.78 × 189,544.78
  4. Step 4: Simplify right side
    86,024.44x = 35,927,224,099.11
  5. Step 5: Solve for x
    x = 35,927,224,099.11/86,024.44
  6. Step 6: Final answer
    x = 417,639.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.