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Finding the Third Proportional to 101,564 and 220,078

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Solution

The third proportional to 101,564 and 220,078 is: 476,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564 : 220,078 = 220,078 : x
  2. Step 2: Convert to fraction form
    101,564/220,078 = 220,078/x
  3. Step 3: Cross multiply
    101,564x = 220,078 × 220,078
  4. Step 4: Simplify right side
    101,564x = 48,434,326,084
  5. Step 5: Solve for x
    x = 48,434,326,084/101,564
  6. Step 6: Final answer
    x = 476,884.78

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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.