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Finding the Third Proportional to 99,650.25 and 149,202

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Solution

The third proportional to 99,650.25 and 149,202 is: 223,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,650.25 : 149,202 = 149,202 : x
  2. Step 2: Convert to fraction form
    99,650.25/149,202 = 149,202/x
  3. Step 3: Cross multiply
    99,650.25x = 149,202 × 149,202
  4. Step 4: Simplify right side
    99,650.25x = 22,261,236,804
  5. Step 5: Solve for x
    x = 22,261,236,804/99,650.25
  6. Step 6: Final answer
    x = 223,393.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.