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Finding the Third Proportional to 80,853.19 and 170,084.81

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Solution

The third proportional to 80,853.19 and 170,084.81 is: 357,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,853.19 : 170,084.81 = 170,084.81 : x
  2. Step 2: Convert to fraction form
    80,853.19/170,084.81 = 170,084.81/x
  3. Step 3: Cross multiply
    80,853.19x = 170,084.81 × 170,084.81
  4. Step 4: Simplify right side
    80,853.19x = 28,928,843,443.16
  5. Step 5: Solve for x
    x = 28,928,843,443.16/80,853.19
  6. Step 6: Final answer
    x = 357,794.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.