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Finding the Third Proportional to 90,772.31 and 192,341.25

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Solution

The third proportional to 90,772.31 and 192,341.25 is: 407,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,772.31 : 192,341.25 = 192,341.25 : x
  2. Step 2: Convert to fraction form
    90,772.31/192,341.25 = 192,341.25/x
  3. Step 3: Cross multiply
    90,772.31x = 192,341.25 × 192,341.25
  4. Step 4: Simplify right side
    90,772.31x = 36,995,156,451.56
  5. Step 5: Solve for x
    x = 36,995,156,451.56/90,772.31
  6. Step 6: Final answer
    x = 407,559.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.