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Finding the Third Proportional to 107,287.88 and 228,821.63

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Solution

The third proportional to 107,287.88 and 228,821.63 is: 488,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,287.88 : 228,821.63 = 228,821.63 : x
  2. Step 2: Convert to fraction form
    107,287.88/228,821.63 = 228,821.63/x
  3. Step 3: Cross multiply
    107,287.88x = 228,821.63 × 228,821.63
  4. Step 4: Simplify right side
    107,287.88x = 52,359,336,067.64
  5. Step 5: Solve for x
    x = 52,359,336,067.64/107,287.88
  6. Step 6: Final answer
    x = 488,026.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.