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Finding the Third Proportional to 80,844.96 and 170,069.63

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Solution

The third proportional to 80,844.96 and 170,069.63 is: 357,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,844.96 : 170,069.63 = 170,069.63 : x
  2. Step 2: Convert to fraction form
    80,844.96/170,069.63 = 170,069.63/x
  3. Step 3: Cross multiply
    80,844.96x = 170,069.63 × 170,069.63
  4. Step 4: Simplify right side
    80,844.96x = 28,923,677,347.64
  5. Step 5: Solve for x
    x = 28,923,677,347.64/80,844.96
  6. Step 6: Final answer
    x = 357,767.23

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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.