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Finding the Third Proportional to 100,224 and 215,952

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Solution

The third proportional to 100,224 and 215,952 is: 465,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224 : 215,952 = 215,952 : x
  2. Step 2: Convert to fraction form
    100,224/215,952 = 215,952/x
  3. Step 3: Cross multiply
    100,224x = 215,952 × 215,952
  4. Step 4: Simplify right side
    100,224x = 46,635,266,304
  5. Step 5: Solve for x
    x = 46,635,266,304/100,224
  6. Step 6: Final answer
    x = 465,310.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.