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Finding the Third Proportional to 111,985,748 and 232,910,872

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Solution

The third proportional to 111,985,748 and 232,910,872 is: 484,414,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985,748 : 232,910,872 = 232,910,872 : x
  2. Step 2: Convert to fraction form
    111,985,748/232,910,872 = 232,910,872/x
  3. Step 3: Cross multiply
    111,985,748x = 232,910,872 × 232,910,872
  4. Step 4: Simplify right side
    111,985,748x = 54,247,474,295,800,384
  5. Step 5: Solve for x
    x = 54,247,474,295,800,384/111,985,748
  6. Step 6: Final answer
    x = 484,414,090.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.