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Finding the Third Proportional to 69,148.13 and 150,809.63

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Solution

The third proportional to 69,148.13 and 150,809.63 is: 328,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,148.13 : 150,809.63 = 150,809.63 : x
  2. Step 2: Convert to fraction form
    69,148.13/150,809.63 = 150,809.63/x
  3. Step 3: Cross multiply
    69,148.13x = 150,809.63 × 150,809.63
  4. Step 4: Simplify right side
    69,148.13x = 22,743,542,992.64
  5. Step 5: Solve for x
    x = 22,743,542,992.64/69,148.13
  6. Step 6: Final answer
    x = 328,910.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.