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Finding the Third Proportional to 100,216 and 233,036

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Solution

The third proportional to 100,216 and 233,036 is: 541,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216 : 233,036 = 233,036 : x
  2. Step 2: Convert to fraction form
    100,216/233,036 = 233,036/x
  3. Step 3: Cross multiply
    100,216x = 233,036 × 233,036
  4. Step 4: Simplify right side
    100,216x = 54,305,777,296
  5. Step 5: Solve for x
    x = 54,305,777,296/100,216
  6. Step 6: Final answer
    x = 541,887.30

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.