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Finding the Third Proportional to 99,631.50 and 150,176.25

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Solution

The third proportional to 99,631.50 and 150,176.25 is: 226,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,631.50 : 150,176.25 = 150,176.25 : x
  2. Step 2: Convert to fraction form
    99,631.50/150,176.25 = 150,176.25/x
  3. Step 3: Cross multiply
    99,631.50x = 150,176.25 × 150,176.25
  4. Step 4: Simplify right side
    99,631.50x = 22,552,906,064.06
  5. Step 5: Solve for x
    x = 22,552,906,064.06/99,631.50
  6. Step 6: Final answer
    x = 226,363.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.