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Finding the Third Proportional to 86,693 and 189,262

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Solution

The third proportional to 86,693 and 189,262 is: 413,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,693 : 189,262 = 189,262 : x
  2. Step 2: Convert to fraction form
    86,693/189,262 = 189,262/x
  3. Step 3: Cross multiply
    86,693x = 189,262 × 189,262
  4. Step 4: Simplify right side
    86,693x = 35,820,104,644
  5. Step 5: Solve for x
    x = 35,820,104,644/86,693
  6. Step 6: Final answer
    x = 413,183.36

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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.