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Finding the Third Proportional to 101,747 and 221,008

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Solution

The third proportional to 101,747 and 221,008 is: 480,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,747 : 221,008 = 221,008 : x
  2. Step 2: Convert to fraction form
    101,747/221,008 = 221,008/x
  3. Step 3: Cross multiply
    101,747x = 221,008 × 221,008
  4. Step 4: Simplify right side
    101,747x = 48,844,536,064
  5. Step 5: Solve for x
    x = 48,844,536,064/101,747
  6. Step 6: Final answer
    x = 480,058.73

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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.