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Finding the Third Proportional to 84,111.75 and 184,835.25

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Solution

The third proportional to 84,111.75 and 184,835.25 is: 406,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,111.75 : 184,835.25 = 184,835.25 : x
  2. Step 2: Convert to fraction form
    84,111.75/184,835.25 = 184,835.25/x
  3. Step 3: Cross multiply
    84,111.75x = 184,835.25 × 184,835.25
  4. Step 4: Simplify right side
    84,111.75x = 34,164,069,642.56
  5. Step 5: Solve for x
    x = 34,164,069,642.56/84,111.75
  6. Step 6: Final answer
    x = 406,174.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.