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Finding the Third Proportional to 181,900,518 and 279,597,105

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Solution

The third proportional to 181,900,518 and 279,597,105 is: 429,765,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,900,518 : 279,597,105 = 279,597,105 : x
  2. Step 2: Convert to fraction form
    181,900,518/279,597,105 = 279,597,105/x
  3. Step 3: Cross multiply
    181,900,518x = 279,597,105 × 279,597,105
  4. Step 4: Simplify right side
    181,900,518x = 78,174,541,124,381,024
  5. Step 5: Solve for x
    x = 78,174,541,124,381,024/181,900,518
  6. Step 6: Final answer
    x = 429,765,357.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.