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Finding the Third Proportional to 101,537 and 220,023

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Solution

The third proportional to 101,537 and 220,023 is: 476,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,537 : 220,023 = 220,023 : x
  2. Step 2: Convert to fraction form
    101,537/220,023 = 220,023/x
  3. Step 3: Cross multiply
    101,537x = 220,023 × 220,023
  4. Step 4: Simplify right side
    101,537x = 48,410,120,529
  5. Step 5: Solve for x
    x = 48,410,120,529/101,537
  6. Step 6: Final answer
    x = 476,773.20

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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.