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Finding the Third Proportional to 86,029.88 and 184,519.13

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Solution

The third proportional to 86,029.88 and 184,519.13 is: 395,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,029.88 : 184,519.13 = 184,519.13 : x
  2. Step 2: Convert to fraction form
    86,029.88/184,519.13 = 184,519.13/x
  3. Step 3: Cross multiply
    86,029.88x = 184,519.13 × 184,519.13
  4. Step 4: Simplify right side
    86,029.88x = 34,047,307,490.77
  5. Step 5: Solve for x
    x = 34,047,307,490.77/86,029.88
  6. Step 6: Final answer
    x = 395,761.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.