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Finding the Third Proportional to 84,871.88 and 184,961.63

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Solution

The third proportional to 84,871.88 and 184,961.63 is: 403,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,871.88 : 184,961.63 = 184,961.63 : x
  2. Step 2: Convert to fraction form
    84,871.88/184,961.63 = 184,961.63/x
  3. Step 3: Cross multiply
    84,871.88x = 184,961.63 × 184,961.63
  4. Step 4: Simplify right side
    84,871.88x = 34,210,802,722.64
  5. Step 5: Solve for x
    x = 34,210,802,722.64/84,871.88
  6. Step 6: Final answer
    x = 403,087.63

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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.