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Finding the Third Proportional to 99,084,256 and 207,203,008

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Solution

The third proportional to 99,084,256 and 207,203,008 is: 433,298,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084,256 : 207,203,008 = 207,203,008 : x
  2. Step 2: Convert to fraction form
    99,084,256/207,203,008 = 207,203,008/x
  3. Step 3: Cross multiply
    99,084,256x = 207,203,008 × 207,203,008
  4. Step 4: Simplify right side
    99,084,256x = 42,933,086,524,248,064
  5. Step 5: Solve for x
    x = 42,933,086,524,248,064/99,084,256
  6. Step 6: Final answer
    x = 433,298,772.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.