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Finding the Third Proportional to 100,444.50 and 151,962

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Solution

The third proportional to 100,444.50 and 151,962 is: 229,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,444.50 : 151,962 = 151,962 : x
  2. Step 2: Convert to fraction form
    100,444.50/151,962 = 151,962/x
  3. Step 3: Cross multiply
    100,444.50x = 151,962 × 151,962
  4. Step 4: Simplify right side
    100,444.50x = 23,092,449,444
  5. Step 5: Solve for x
    x = 23,092,449,444/100,444.50
  6. Step 6: Final answer
    x = 229,902.58

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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.