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Finding the Third Proportional to 69,206.63 and 150,920.25

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Solution

The third proportional to 69,206.63 and 150,920.25 is: 329,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,206.63 : 150,920.25 = 150,920.25 : x
  2. Step 2: Convert to fraction form
    69,206.63/150,920.25 = 150,920.25/x
  3. Step 3: Cross multiply
    69,206.63x = 150,920.25 × 150,920.25
  4. Step 4: Simplify right side
    69,206.63x = 22,776,921,860.06
  5. Step 5: Solve for x
    x = 22,776,921,860.06/69,206.63
  6. Step 6: Final answer
    x = 329,114.76

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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.