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Finding the Third Proportional to 49,905,918 and 109,203,907

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Solution

The third proportional to 49,905,918 and 109,203,907 is: 238,959,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,905,918 : 109,203,907 = 109,203,907 : x
  2. Step 2: Convert to fraction form
    49,905,918/109,203,907 = 109,203,907/x
  3. Step 3: Cross multiply
    49,905,918x = 109,203,907 × 109,203,907
  4. Step 4: Simplify right side
    49,905,918x = 11,925,493,304,064,648
  5. Step 5: Solve for x
    x = 11,925,493,304,064,648/49,905,918
  6. Step 6: Final answer
    x = 238,959,501.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.