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Finding the Third Proportional to 242,707,812 and 534,887,204

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Solution

The third proportional to 242,707,812 and 534,887,204 is: 1,178,801,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,707,812 : 534,887,204 = 534,887,204 : x
  2. Step 2: Convert to fraction form
    242,707,812/534,887,204 = 534,887,204/x
  3. Step 3: Cross multiply
    242,707,812x = 534,887,204 × 534,887,204
  4. Step 4: Simplify right side
    242,707,812x = 286,104,321,002,937,600
  5. Step 5: Solve for x
    x = 286,104,321,002,937,600/242,707,812
  6. Step 6: Final answer
    x = 1,178,801,451.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.