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Finding the Third Proportional to 169,811,424 and 363,840,309

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Solution

The third proportional to 169,811,424 and 363,840,309 is: 779,569,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,811,424 : 363,840,309 = 363,840,309 : x
  2. Step 2: Convert to fraction form
    169,811,424/363,840,309 = 363,840,309/x
  3. Step 3: Cross multiply
    169,811,424x = 363,840,309 × 363,840,309
  4. Step 4: Simplify right side
    169,811,424x = 132,379,770,453,215,488
  5. Step 5: Solve for x
    x = 132,379,770,453,215,488/169,811,424
  6. Step 6: Final answer
    x = 779,569,285.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.