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Finding the Third Proportional to 84,619.13 and 184,415.06

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Solution

The third proportional to 84,619.13 and 184,415.06 is: 401,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,619.13 : 184,415.06 = 184,415.06 : x
  2. Step 2: Convert to fraction form
    84,619.13/184,415.06 = 184,415.06/x
  3. Step 3: Cross multiply
    84,619.13x = 184,415.06 × 184,415.06
  4. Step 4: Simplify right side
    84,619.13x = 34,008,915,276.88
  5. Step 5: Solve for x
    x = 34,008,915,276.88/84,619.13
  6. Step 6: Final answer
    x = 401,905.78

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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.