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Finding the Third Proportional to 86,036.24 and 184,530.97

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Solution

The third proportional to 86,036.24 and 184,530.97 is: 395,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,036.24 : 184,530.97 = 184,530.97 : x
  2. Step 2: Convert to fraction form
    86,036.24/184,530.97 = 184,530.97/x
  3. Step 3: Cross multiply
    86,036.24x = 184,530.97 × 184,530.97
  4. Step 4: Simplify right side
    86,036.24x = 34,051,679,869.46
  5. Step 5: Solve for x
    x = 34,051,679,869.46/86,036.24
  6. Step 6: Final answer
    x = 395,782.99

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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.