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Finding the Third Proportional to 86,786 and 189,412

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Solution

The third proportional to 86,786 and 189,412 is: 413,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,786 : 189,412 = 189,412 : x
  2. Step 2: Convert to fraction form
    86,786/189,412 = 189,412/x
  3. Step 3: Cross multiply
    86,786x = 189,412 × 189,412
  4. Step 4: Simplify right side
    86,786x = 35,876,905,744
  5. Step 5: Solve for x
    x = 35,876,905,744/86,786
  6. Step 6: Final answer
    x = 413,395.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.