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Finding the Third Proportional to 105,099,972 and 245,560,966

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Solution

The third proportional to 105,099,972 and 245,560,966 is: 573,741,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,099,972 : 245,560,966 = 245,560,966 : x
  2. Step 2: Convert to fraction form
    105,099,972/245,560,966 = 245,560,966/x
  3. Step 3: Cross multiply
    105,099,972x = 245,560,966 × 245,560,966
  4. Step 4: Simplify right side
    105,099,972x = 60,300,188,022,853,152
  5. Step 5: Solve for x
    x = 60,300,188,022,853,152/105,099,972
  6. Step 6: Final answer
    x = 573,741,237.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.