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Finding the Third Proportional to 84,383.44 and 184,528.97

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Solution

The third proportional to 84,383.44 and 184,528.97 is: 403,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,383.44 : 184,528.97 = 184,528.97 : x
  2. Step 2: Convert to fraction form
    84,383.44/184,528.97 = 184,528.97/x
  3. Step 3: Cross multiply
    84,383.44x = 184,528.97 × 184,528.97
  4. Step 4: Simplify right side
    84,383.44x = 34,050,940,307.94
  5. Step 5: Solve for x
    x = 34,050,940,307.94/84,383.44
  6. Step 6: Final answer
    x = 403,526.35

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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.