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Finding the Third Proportional to 150,847.69 and 207,793.31

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Solution

The third proportional to 150,847.69 and 207,793.31 is: 286,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,847.69 : 207,793.31 = 207,793.31 : x
  2. Step 2: Convert to fraction form
    150,847.69/207,793.31 = 207,793.31/x
  3. Step 3: Cross multiply
    150,847.69x = 207,793.31 × 207,793.31
  4. Step 4: Simplify right side
    150,847.69x = 43,178,060,719.72
  5. Step 5: Solve for x
    x = 43,178,060,719.72/150,847.69
  6. Step 6: Final answer
    x = 286,236.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.