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Finding the Third Proportional to 100,217.25 and 154,105.88

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Solution

The third proportional to 100,217.25 and 154,105.88 is: 236,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.25 : 154,105.88 = 154,105.88 : x
  2. Step 2: Convert to fraction form
    100,217.25/154,105.88 = 154,105.88/x
  3. Step 3: Cross multiply
    100,217.25x = 154,105.88 × 154,105.88
  4. Step 4: Simplify right side
    100,217.25x = 23,748,620,709.52
  5. Step 5: Solve for x
    x = 23,748,620,709.52/100,217.25
  6. Step 6: Final answer
    x = 236,971.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.