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Finding the Third Proportional to 69,236.63 and 150,623.25

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Solution

The third proportional to 69,236.63 and 150,623.25 is: 327,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,236.63 : 150,623.25 = 150,623.25 : x
  2. Step 2: Convert to fraction form
    69,236.63/150,623.25 = 150,623.25/x
  3. Step 3: Cross multiply
    69,236.63x = 150,623.25 × 150,623.25
  4. Step 4: Simplify right side
    69,236.63x = 22,687,363,440.56
  5. Step 5: Solve for x
    x = 22,687,363,440.56/69,236.63
  6. Step 6: Final answer
    x = 327,678.64

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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.