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Finding the Third Proportional to 227,776,902 and 340,172,749

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Solution

The third proportional to 227,776,902 and 340,172,749 is: 508,029,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,776,902 : 340,172,749 = 340,172,749 : x
  2. Step 2: Convert to fraction form
    227,776,902/340,172,749 = 340,172,749/x
  3. Step 3: Cross multiply
    227,776,902x = 340,172,749 × 340,172,749
  4. Step 4: Simplify right side
    227,776,902x = 115,717,499,162,217,008
  5. Step 5: Solve for x
    x = 115,717,499,162,217,008/227,776,902
  6. Step 6: Final answer
    x = 508,029,998.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.