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Finding the Third Proportional to 101,052.56 and 214,425.56

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Solution

The third proportional to 101,052.56 and 214,425.56 is: 454,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,052.56 : 214,425.56 = 214,425.56 : x
  2. Step 2: Convert to fraction form
    101,052.56/214,425.56 = 214,425.56/x
  3. Step 3: Cross multiply
    101,052.56x = 214,425.56 × 214,425.56
  4. Step 4: Simplify right side
    101,052.56x = 45,978,321,853.44
  5. Step 5: Solve for x
    x = 45,978,321,853.44/101,052.56
  6. Step 6: Final answer
    x = 454,994.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.