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Finding the Third Proportional to 84,617.06 and 185,842.69

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Solution

The third proportional to 84,617.06 and 185,842.69 is: 408,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,617.06 : 185,842.69 = 185,842.69 : x
  2. Step 2: Convert to fraction form
    84,617.06/185,842.69 = 185,842.69/x
  3. Step 3: Cross multiply
    84,617.06x = 185,842.69 × 185,842.69
  4. Step 4: Simplify right side
    84,617.06x = 34,537,504,497.22
  5. Step 5: Solve for x
    x = 34,537,504,497.22/84,617.06
  6. Step 6: Final answer
    x = 408,162.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.