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Finding the Third Proportional to 211,229,189 and 336,107,096

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Solution

The third proportional to 211,229,189 and 336,107,096 is: 534,812,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,229,189 : 336,107,096 = 336,107,096 : x
  2. Step 2: Convert to fraction form
    211,229,189/336,107,096 = 336,107,096/x
  3. Step 3: Cross multiply
    211,229,189x = 336,107,096 × 336,107,096
  4. Step 4: Simplify right side
    211,229,189x = 112,967,979,981,553,216
  5. Step 5: Solve for x
    x = 112,967,979,981,553,216/211,229,189
  6. Step 6: Final answer
    x = 534,812,354.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.