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Finding the Third Proportional to 84,618.56 and 185,842.13

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Solution

The third proportional to 84,618.56 and 185,842.13 is: 408,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,618.56 : 185,842.13 = 185,842.13 : x
  2. Step 2: Convert to fraction form
    84,618.56/185,842.13 = 185,842.13/x
  3. Step 3: Cross multiply
    84,618.56x = 185,842.13 × 185,842.13
  4. Step 4: Simplify right side
    84,618.56x = 34,537,295,424.52
  5. Step 5: Solve for x
    x = 34,537,295,424.52/84,618.56
  6. Step 6: Final answer
    x = 408,152.71

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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.