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Finding the Third Proportional to 95,410,887 and 206,664,863.25

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Solution

The third proportional to 95,410,887 and 206,664,863.25 is: 447,646,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,410,887 : 206,664,863.25 = 206,664,863.25 : x
  2. Step 2: Convert to fraction form
    95,410,887/206,664,863.25 = 206,664,863.25/x
  3. Step 3: Cross multiply
    95,410,887x = 206,664,863.25 × 206,664,863.25
  4. Step 4: Simplify right side
    95,410,887x = 42,710,365,702,141,200
  5. Step 5: Solve for x
    x = 42,710,365,702,141,200/95,410,887
  6. Step 6: Final answer
    x = 447,646,668.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.