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Finding the Third Proportional to 95,398,962 and 205,905,720

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Solution

The third proportional to 95,398,962 and 205,905,720 is: 444,419,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,398,962 : 205,905,720 = 205,905,720 : x
  2. Step 2: Convert to fraction form
    95,398,962/205,905,720 = 205,905,720/x
  3. Step 3: Cross multiply
    95,398,962x = 205,905,720 × 205,905,720
  4. Step 4: Simplify right side
    95,398,962x = 42,397,165,528,718,400
  5. Step 5: Solve for x
    x = 42,397,165,528,718,400/95,398,962
  6. Step 6: Final answer
    x = 444,419,568.51

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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.