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Finding the Third Proportional to 101,468 and 220,429

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Solution

The third proportional to 101,468 and 220,429 is: 478,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,468 : 220,429 = 220,429 : x
  2. Step 2: Convert to fraction form
    101,468/220,429 = 220,429/x
  3. Step 3: Cross multiply
    101,468x = 220,429 × 220,429
  4. Step 4: Simplify right side
    101,468x = 48,588,944,041
  5. Step 5: Solve for x
    x = 48,588,944,041/101,468
  6. Step 6: Final answer
    x = 478,859.78

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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.