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Finding the Third Proportional to 40,305.73 and 86,147.30

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Solution

The third proportional to 40,305.73 and 86,147.30 is: 184,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,305.73 : 86,147.30 = 86,147.30 : x
  2. Step 2: Convert to fraction form
    40,305.73/86,147.30 = 86,147.30/x
  3. Step 3: Cross multiply
    40,305.73x = 86,147.30 × 86,147.30
  4. Step 4: Simplify right side
    40,305.73x = 7,421,356,758.87
  5. Step 5: Solve for x
    x = 7,421,356,758.87/40,305.73
  6. Step 6: Final answer
    x = 184,126.61

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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.