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Finding the Third Proportional to 100,954 and 218,628

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Solution

The third proportional to 100,954 and 218,628 is: 473,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,954 : 218,628 = 218,628 : x
  2. Step 2: Convert to fraction form
    100,954/218,628 = 218,628/x
  3. Step 3: Cross multiply
    100,954x = 218,628 × 218,628
  4. Step 4: Simplify right side
    100,954x = 47,798,202,384
  5. Step 5: Solve for x
    x = 47,798,202,384/100,954
  6. Step 6: Final answer
    x = 473,465.17

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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.