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Finding the Third Proportional to 86,613 and 189,777

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Solution

The third proportional to 86,613 and 189,777 is: 415,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,613 : 189,777 = 189,777 : x
  2. Step 2: Convert to fraction form
    86,613/189,777 = 189,777/x
  3. Step 3: Cross multiply
    86,613x = 189,777 × 189,777
  4. Step 4: Simplify right side
    86,613x = 36,015,309,729
  5. Step 5: Solve for x
    x = 36,015,309,729/86,613
  6. Step 6: Final answer
    x = 415,818.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.