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Finding the Third Proportional to 100,267.88 and 218,175.75

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Solution

The third proportional to 100,267.88 and 218,175.75 is: 474,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,267.88 : 218,175.75 = 218,175.75 : x
  2. Step 2: Convert to fraction form
    100,267.88/218,175.75 = 218,175.75/x
  3. Step 3: Cross multiply
    100,267.88x = 218,175.75 × 218,175.75
  4. Step 4: Simplify right side
    100,267.88x = 47,600,657,888.06
  5. Step 5: Solve for x
    x = 47,600,657,888.06/100,267.88
  6. Step 6: Final answer
    x = 474,734.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.