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Finding the Third Proportional to 111,121,179.54 and 239,309,672.91

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Solution

The third proportional to 111,121,179.54 and 239,309,672.91 is: 515,375,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,121,179.54 : 239,309,672.91 = 239,309,672.91 : x
  2. Step 2: Convert to fraction form
    111,121,179.54/239,309,672.91 = 239,309,672.91/x
  3. Step 3: Cross multiply
    111,121,179.54x = 239,309,672.91 × 239,309,672.91
  4. Step 4: Simplify right side
    111,121,179.54x = 57,269,119,546,496,368
  5. Step 5: Solve for x
    x = 57,269,119,546,496,368/111,121,179.54
  6. Step 6: Final answer
    x = 515,375,374.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.