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Finding the Third Proportional to 96,831 and 211,185

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Solution

The third proportional to 96,831 and 211,185 is: 460,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,831 : 211,185 = 211,185 : x
  2. Step 2: Convert to fraction form
    96,831/211,185 = 211,185/x
  3. Step 3: Cross multiply
    96,831x = 211,185 × 211,185
  4. Step 4: Simplify right side
    96,831x = 44,599,104,225
  5. Step 5: Solve for x
    x = 44,599,104,225/96,831
  6. Step 6: Final answer
    x = 460,587.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.