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Finding the Third Proportional to 96,019 and 150,324.50

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Solution

The third proportional to 96,019 and 150,324.50 is: 235,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,019 : 150,324.50 = 150,324.50 : x
  2. Step 2: Convert to fraction form
    96,019/150,324.50 = 150,324.50/x
  3. Step 3: Cross multiply
    96,019x = 150,324.50 × 150,324.50
  4. Step 4: Simplify right side
    96,019x = 22,597,455,300.25
  5. Step 5: Solve for x
    x = 22,597,455,300.25/96,019
  6. Step 6: Final answer
    x = 235,343.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.