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Finding the Third Proportional to 101,171.81 and 218,554.31

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Solution

The third proportional to 101,171.81 and 218,554.31 is: 472,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,171.81 : 218,554.31 = 218,554.31 : x
  2. Step 2: Convert to fraction form
    101,171.81/218,554.31 = 218,554.31/x
  3. Step 3: Cross multiply
    101,171.81x = 218,554.31 × 218,554.31
  4. Step 4: Simplify right side
    101,171.81x = 47,765,987,512.35
  5. Step 5: Solve for x
    x = 47,765,987,512.35/101,171.81
  6. Step 6: Final answer
    x = 472,127.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.