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Finding the Third Proportional to 104,290.88 and 223,344.84

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Solution

The third proportional to 104,290.88 and 223,344.84 is: 478,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,290.88 : 223,344.84 = 223,344.84 : x
  2. Step 2: Convert to fraction form
    104,290.88/223,344.84 = 223,344.84/x
  3. Step 3: Cross multiply
    104,290.88x = 223,344.84 × 223,344.84
  4. Step 4: Simplify right side
    104,290.88x = 49,882,919,229.71
  5. Step 5: Solve for x
    x = 49,882,919,229.71/104,290.88
  6. Step 6: Final answer
    x = 478,305.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.