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Finding the Third Proportional to 84,633.19 and 184,438.69

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Solution

The third proportional to 84,633.19 and 184,438.69 is: 401,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,633.19 : 184,438.69 = 184,438.69 : x
  2. Step 2: Convert to fraction form
    84,633.19/184,438.69 = 184,438.69/x
  3. Step 3: Cross multiply
    84,633.19x = 184,438.69 × 184,438.69
  4. Step 4: Simplify right side
    84,633.19x = 34,017,629,446.72
  5. Step 5: Solve for x
    x = 34,017,629,446.72/84,633.19
  6. Step 6: Final answer
    x = 401,941.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.