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Finding the Third Proportional to 181,139,364 and 397,864,296

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Solution

The third proportional to 181,139,364 and 397,864,296 is: 873,890,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,139,364 : 397,864,296 = 397,864,296 : x
  2. Step 2: Convert to fraction form
    181,139,364/397,864,296 = 397,864,296/x
  3. Step 3: Cross multiply
    181,139,364x = 397,864,296 × 397,864,296
  4. Step 4: Simplify right side
    181,139,364x = 158,295,998,031,575,616
  5. Step 5: Solve for x
    x = 158,295,998,031,575,616/181,139,364
  6. Step 6: Final answer
    x = 873,890,658.20

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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.