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Finding the Third Proportional to 86,114 and 189,202

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Solution

The third proportional to 86,114 and 189,202 is: 415,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,114 : 189,202 = 189,202 : x
  2. Step 2: Convert to fraction form
    86,114/189,202 = 189,202/x
  3. Step 3: Cross multiply
    86,114x = 189,202 × 189,202
  4. Step 4: Simplify right side
    86,114x = 35,797,396,804
  5. Step 5: Solve for x
    x = 35,797,396,804/86,114
  6. Step 6: Final answer
    x = 415,697.76

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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.