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Finding the Third Proportional to 86,041.69 and 184,538.53

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Solution

The third proportional to 86,041.69 and 184,538.53 is: 395,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,041.69 : 184,538.53 = 184,538.53 : x
  2. Step 2: Convert to fraction form
    86,041.69/184,538.53 = 184,538.53/x
  3. Step 3: Cross multiply
    86,041.69x = 184,538.53 × 184,538.53
  4. Step 4: Simplify right side
    86,041.69x = 34,054,469,515.91
  5. Step 5: Solve for x
    x = 34,054,469,515.91/86,041.69
  6. Step 6: Final answer
    x = 395,790.35

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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.