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Finding the Third Proportional to 86,619 and 189,788

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Solution

The third proportional to 86,619 and 189,788 is: 415,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,619 : 189,788 = 189,788 : x
  2. Step 2: Convert to fraction form
    86,619/189,788 = 189,788/x
  3. Step 3: Cross multiply
    86,619x = 189,788 × 189,788
  4. Step 4: Simplify right side
    86,619x = 36,019,484,944
  5. Step 5: Solve for x
    x = 36,019,484,944/86,619
  6. Step 6: Final answer
    x = 415,838.15

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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.