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Finding the Third Proportional to 68,232.38 and 149,576.63

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Solution

The third proportional to 68,232.38 and 149,576.63 is: 327,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,232.38 : 149,576.63 = 149,576.63 : x
  2. Step 2: Convert to fraction form
    68,232.38/149,576.63 = 149,576.63/x
  3. Step 3: Cross multiply
    68,232.38x = 149,576.63 × 149,576.63
  4. Step 4: Simplify right side
    68,232.38x = 22,373,166,746.39
  5. Step 5: Solve for x
    x = 22,373,166,746.39/68,232.38
  6. Step 6: Final answer
    x = 327,896.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.