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Finding the Third Proportional to 84,571.88 and 184,031.86

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Solution

The third proportional to 84,571.88 and 184,031.86 is: 400,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,571.88 : 184,031.86 = 184,031.86 : x
  2. Step 2: Convert to fraction form
    84,571.88/184,031.86 = 184,031.86/x
  3. Step 3: Cross multiply
    84,571.88x = 184,031.86 × 184,031.86
  4. Step 4: Simplify right side
    84,571.88x = 33,867,725,265.02
  5. Step 5: Solve for x
    x = 33,867,725,265.02/84,571.88
  6. Step 6: Final answer
    x = 400,460.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.