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Finding the Third Proportional to 86,119.88 and 184,698.56

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Solution

The third proportional to 86,119.88 and 184,698.56 is: 396,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,119.88 : 184,698.56 = 184,698.56 : x
  2. Step 2: Convert to fraction form
    86,119.88/184,698.56 = 184,698.56/x
  3. Step 3: Cross multiply
    86,119.88x = 184,698.56 × 184,698.56
  4. Step 4: Simplify right side
    86,119.88x = 34,113,558,989.57
  5. Step 5: Solve for x
    x = 34,113,558,989.57/86,119.88
  6. Step 6: Final answer
    x = 396,117.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.