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Finding the Third Proportional to 101,556 and 220,059

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Solution

The third proportional to 101,556 and 220,059 is: 476,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,556 : 220,059 = 220,059 : x
  2. Step 2: Convert to fraction form
    101,556/220,059 = 220,059/x
  3. Step 3: Cross multiply
    101,556x = 220,059 × 220,059
  4. Step 4: Simplify right side
    101,556x = 48,425,963,481
  5. Step 5: Solve for x
    x = 48,425,963,481/101,556
  6. Step 6: Final answer
    x = 476,840.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.