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Finding the Third Proportional to 80,628.75 and 188,281.13

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Solution

The third proportional to 80,628.75 and 188,281.13 is: 439,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,628.75 : 188,281.13 = 188,281.13 : x
  2. Step 2: Convert to fraction form
    80,628.75/188,281.13 = 188,281.13/x
  3. Step 3: Cross multiply
    80,628.75x = 188,281.13 × 188,281.13
  4. Step 4: Simplify right side
    80,628.75x = 35,449,782,031.27
  5. Step 5: Solve for x
    x = 35,449,782,031.27/80,628.75
  6. Step 6: Final answer
    x = 439,666.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.