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Finding the Third Proportional to 111,904,477 and 240,815,071

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Solution

The third proportional to 111,904,477 and 240,815,071 is: 518,226,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,904,477 : 240,815,071 = 240,815,071 : x
  2. Step 2: Convert to fraction form
    111,904,477/240,815,071 = 240,815,071/x
  3. Step 3: Cross multiply
    111,904,477x = 240,815,071 × 240,815,071
  4. Step 4: Simplify right side
    111,904,477x = 57,991,898,420,735,040
  5. Step 5: Solve for x
    x = 57,991,898,420,735,040/111,904,477
  6. Step 6: Final answer
    x = 518,226,794.63

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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.