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Finding the Third Proportional to 100,812.75 and 151,997.63

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Solution

The third proportional to 100,812.75 and 151,997.63 is: 229,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812.75 : 151,997.63 = 151,997.63 : x
  2. Step 2: Convert to fraction form
    100,812.75/151,997.63 = 151,997.63/x
  3. Step 3: Cross multiply
    100,812.75x = 151,997.63 × 151,997.63
  4. Step 4: Simplify right side
    100,812.75x = 23,103,278,005.64
  5. Step 5: Solve for x
    x = 23,103,278,005.64/100,812.75
  6. Step 6: Final answer
    x = 229,170.20

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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.