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Finding the Third Proportional to 84,164.63 and 184,164.75

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Solution

The third proportional to 84,164.63 and 184,164.75 is: 402,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164.63 : 184,164.75 = 184,164.75 : x
  2. Step 2: Convert to fraction form
    84,164.63/184,164.75 = 184,164.75/x
  3. Step 3: Cross multiply
    84,164.63x = 184,164.75 × 184,164.75
  4. Step 4: Simplify right side
    84,164.63x = 33,916,655,142.56
  5. Step 5: Solve for x
    x = 33,916,655,142.56/84,164.63
  6. Step 6: Final answer
    x = 402,979.94

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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.