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Finding the Third Proportional to 100,952 and 218,623

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Solution

The third proportional to 100,952 and 218,623 is: 473,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,952 : 218,623 = 218,623 : x
  2. Step 2: Convert to fraction form
    100,952/218,623 = 218,623/x
  3. Step 3: Cross multiply
    100,952x = 218,623 × 218,623
  4. Step 4: Simplify right side
    100,952x = 47,796,016,129
  5. Step 5: Solve for x
    x = 47,796,016,129/100,952
  6. Step 6: Final answer
    x = 473,452.89

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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.