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Finding the Third Proportional to 109,638.75 and 236,195.25

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Solution

The third proportional to 109,638.75 and 236,195.25 is: 508,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638.75 : 236,195.25 = 236,195.25 : x
  2. Step 2: Convert to fraction form
    109,638.75/236,195.25 = 236,195.25/x
  3. Step 3: Cross multiply
    109,638.75x = 236,195.25 × 236,195.25
  4. Step 4: Simplify right side
    109,638.75x = 55,788,196,122.56
  5. Step 5: Solve for x
    x = 55,788,196,122.56/109,638.75
  6. Step 6: Final answer
    x = 508,836.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.