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Finding the Third Proportional to 85,843.13 and 185,235.19

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Solution

The third proportional to 85,843.13 and 185,235.19 is: 399,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,843.13 : 185,235.19 = 185,235.19 : x
  2. Step 2: Convert to fraction form
    85,843.13/185,235.19 = 185,235.19/x
  3. Step 3: Cross multiply
    85,843.13x = 185,235.19 × 185,235.19
  4. Step 4: Simplify right side
    85,843.13x = 34,312,074,688.16
  5. Step 5: Solve for x
    x = 34,312,074,688.16/85,843.13
  6. Step 6: Final answer
    x = 399,706.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.