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Finding the Third Proportional to 86,406 and 189,708

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Solution

The third proportional to 86,406 and 189,708 is: 416,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406 : 189,708 = 189,708 : x
  2. Step 2: Convert to fraction form
    86,406/189,708 = 189,708/x
  3. Step 3: Cross multiply
    86,406x = 189,708 × 189,708
  4. Step 4: Simplify right side
    86,406x = 35,989,125,264
  5. Step 5: Solve for x
    x = 35,989,125,264/86,406
  6. Step 6: Final answer
    x = 416,511.88

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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.