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Finding the Third Proportional to 101,557 and 220,063

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Solution

The third proportional to 101,557 and 220,063 is: 476,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,557 : 220,063 = 220,063 : x
  2. Step 2: Convert to fraction form
    101,557/220,063 = 220,063/x
  3. Step 3: Cross multiply
    101,557x = 220,063 × 220,063
  4. Step 4: Simplify right side
    101,557x = 48,427,723,969
  5. Step 5: Solve for x
    x = 48,427,723,969/101,557
  6. Step 6: Final answer
    x = 476,852.64

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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.