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Finding the Third Proportional to 100,946.25 and 218,608.88

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Solution

The third proportional to 100,946.25 and 218,608.88 is: 473,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,946.25 : 218,608.88 = 218,608.88 : x
  2. Step 2: Convert to fraction form
    100,946.25/218,608.88 = 218,608.88/x
  3. Step 3: Cross multiply
    100,946.25x = 218,608.88 × 218,608.88
  4. Step 4: Simplify right side
    100,946.25x = 47,789,840,228.77
  5. Step 5: Solve for x
    x = 47,789,840,228.77/100,946.25
  6. Step 6: Final answer
    x = 473,418.68

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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.