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Finding the Third Proportional to 101,602.69 and 150,933.38

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Solution

The third proportional to 101,602.69 and 150,933.38 is: 224,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602.69 : 150,933.38 = 150,933.38 : x
  2. Step 2: Convert to fraction form
    101,602.69/150,933.38 = 150,933.38/x
  3. Step 3: Cross multiply
    101,602.69x = 150,933.38 × 150,933.38
  4. Step 4: Simplify right side
    101,602.69x = 22,780,883,688.89
  5. Step 5: Solve for x
    x = 22,780,883,688.89/101,602.69
  6. Step 6: Final answer
    x = 224,215.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.