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Finding the Third Proportional to 99,190.50 and 149,707.50

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Solution

The third proportional to 99,190.50 and 149,707.50 is: 225,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,190.50 : 149,707.50 = 149,707.50 : x
  2. Step 2: Convert to fraction form
    99,190.50/149,707.50 = 149,707.50/x
  3. Step 3: Cross multiply
    99,190.50x = 149,707.50 × 149,707.50
  4. Step 4: Simplify right side
    99,190.50x = 22,412,335,556.25
  5. Step 5: Solve for x
    x = 22,412,335,556.25/99,190.50
  6. Step 6: Final answer
    x = 225,952.44

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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.