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Finding the Third Proportional to 109,616.75 and 236,152.75

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Solution

The third proportional to 109,616.75 and 236,152.75 is: 508,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,616.75 : 236,152.75 = 236,152.75 : x
  2. Step 2: Convert to fraction form
    109,616.75/236,152.75 = 236,152.75/x
  3. Step 3: Cross multiply
    109,616.75x = 236,152.75 × 236,152.75
  4. Step 4: Simplify right side
    109,616.75x = 55,768,121,332.56
  5. Step 5: Solve for x
    x = 55,768,121,332.56/109,616.75
  6. Step 6: Final answer
    x = 508,755.47

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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.