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Finding the Third Proportional to 86,046.75 and 184,552.88

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Solution

The third proportional to 86,046.75 and 184,552.88 is: 395,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,046.75 : 184,552.88 = 184,552.88 : x
  2. Step 2: Convert to fraction form
    86,046.75/184,552.88 = 184,552.88/x
  3. Step 3: Cross multiply
    86,046.75x = 184,552.88 × 184,552.88
  4. Step 4: Simplify right side
    86,046.75x = 34,059,763,670.77
  5. Step 5: Solve for x
    x = 34,059,763,670.77/86,046.75
  6. Step 6: Final answer
    x = 395,828.59

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