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Finding the Third Proportional to 86,486 and 189,998

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Solution

The third proportional to 86,486 and 189,998 is: 417,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,486 : 189,998 = 189,998 : x
  2. Step 2: Convert to fraction form
    86,486/189,998 = 189,998/x
  3. Step 3: Cross multiply
    86,486x = 189,998 × 189,998
  4. Step 4: Simplify right side
    86,486x = 36,099,240,004
  5. Step 5: Solve for x
    x = 36,099,240,004/86,486
  6. Step 6: Final answer
    x = 417,399.81

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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.