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Finding the Third Proportional to 84,019.50 and 184,603.50

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Solution

The third proportional to 84,019.50 and 184,603.50 is: 405,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,019.50 : 184,603.50 = 184,603.50 : x
  2. Step 2: Convert to fraction form
    84,019.50/184,603.50 = 184,603.50/x
  3. Step 3: Cross multiply
    84,019.50x = 184,603.50 × 184,603.50
  4. Step 4: Simplify right side
    84,019.50x = 34,078,452,212.25
  5. Step 5: Solve for x
    x = 34,078,452,212.25/84,019.50
  6. Step 6: Final answer
    x = 405,601.70

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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.