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Finding the Third Proportional to 101,664 and 222,952

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Solution

The third proportional to 101,664 and 222,952 is: 488,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,664 : 222,952 = 222,952 : x
  2. Step 2: Convert to fraction form
    101,664/222,952 = 222,952/x
  3. Step 3: Cross multiply
    101,664x = 222,952 × 222,952
  4. Step 4: Simplify right side
    101,664x = 49,707,594,304
  5. Step 5: Solve for x
    x = 49,707,594,304/101,664
  6. Step 6: Final answer
    x = 488,939.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.