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Finding the Third Proportional to 83,666.25 and 184,011.75

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Solution

The third proportional to 83,666.25 and 184,011.75 is: 404,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,666.25 : 184,011.75 = 184,011.75 : x
  2. Step 2: Convert to fraction form
    83,666.25/184,011.75 = 184,011.75/x
  3. Step 3: Cross multiply
    83,666.25x = 184,011.75 × 184,011.75
  4. Step 4: Simplify right side
    83,666.25x = 33,860,324,138.06
  5. Step 5: Solve for x
    x = 33,860,324,138.06/83,666.25
  6. Step 6: Final answer
    x = 404,707.08

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Why These Related Problems?

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