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Finding the Third Proportional to 101,970.75 and 220,343.25

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Solution

The third proportional to 101,970.75 and 220,343.25 is: 476,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.75 : 220,343.25 = 220,343.25 : x
  2. Step 2: Convert to fraction form
    101,970.75/220,343.25 = 220,343.25/x
  3. Step 3: Cross multiply
    101,970.75x = 220,343.25 × 220,343.25
  4. Step 4: Simplify right side
    101,970.75x = 48,551,147,820.56
  5. Step 5: Solve for x
    x = 48,551,147,820.56/101,970.75
  6. Step 6: Final answer
    x = 476,128.18

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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.