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Finding the Third Proportional to 95,398,966 and 205,905,728

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Solution

The third proportional to 95,398,966 and 205,905,728 is: 444,419,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,398,966 : 205,905,728 = 205,905,728 : x
  2. Step 2: Convert to fraction form
    95,398,966/205,905,728 = 205,905,728/x
  3. Step 3: Cross multiply
    95,398,966x = 205,905,728 × 205,905,728
  4. Step 4: Simplify right side
    95,398,966x = 42,397,168,823,209,984
  5. Step 5: Solve for x
    x = 42,397,168,823,209,984/95,398,966
  6. Step 6: Final answer
    x = 444,419,584.41

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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.