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Finding the Third Proportional to 49,296,961 and 106,388,282

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Solution

The third proportional to 49,296,961 and 106,388,282 is: 229,597,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296,961 : 106,388,282 = 106,388,282 : x
  2. Step 2: Convert to fraction form
    49,296,961/106,388,282 = 106,388,282/x
  3. Step 3: Cross multiply
    49,296,961x = 106,388,282 × 106,388,282
  4. Step 4: Simplify right side
    49,296,961x = 11,318,466,546,911,524
  5. Step 5: Solve for x
    x = 11,318,466,546,911,524/49,296,961
  6. Step 6: Final answer
    x = 229,597,653.03

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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.