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Finding the Third Proportional to 84,150.14 and 184,135.78

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Solution

The third proportional to 84,150.14 and 184,135.78 is: 402,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,150.14 : 184,135.78 = 184,135.78 : x
  2. Step 2: Convert to fraction form
    84,150.14/184,135.78 = 184,135.78/x
  3. Step 3: Cross multiply
    84,150.14x = 184,135.78 × 184,135.78
  4. Step 4: Simplify right side
    84,150.14x = 33,905,985,936.55
  5. Step 5: Solve for x
    x = 33,905,985,936.55/84,150.14
  6. Step 6: Final answer
    x = 402,922.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.