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Finding the Third Proportional to 86,486.06 and 185,672.25

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Solution

The third proportional to 86,486.06 and 185,672.25 is: 398,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,486.06 : 185,672.25 = 185,672.25 : x
  2. Step 2: Convert to fraction form
    86,486.06/185,672.25 = 185,672.25/x
  3. Step 3: Cross multiply
    86,486.06x = 185,672.25 × 185,672.25
  4. Step 4: Simplify right side
    86,486.06x = 34,474,184,420.06
  5. Step 5: Solve for x
    x = 34,474,184,420.06/86,486.06
  6. Step 6: Final answer
    x = 398,609.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.