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Finding the Third Proportional to 49,296,924 and 106,388,208

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Solution

The third proportional to 49,296,924 and 106,388,208 is: 229,597,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296,924 : 106,388,208 = 106,388,208 : x
  2. Step 2: Convert to fraction form
    49,296,924/106,388,208 = 106,388,208/x
  3. Step 3: Cross multiply
    49,296,924x = 106,388,208 × 106,388,208
  4. Step 4: Simplify right side
    49,296,924x = 11,318,450,801,451,264
  5. Step 5: Solve for x
    x = 11,318,450,801,451,264/49,296,924
  6. Step 6: Final answer
    x = 229,597,505.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.