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Finding the Third Proportional to 96,720,066 and 204,356,772

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Solution

The third proportional to 96,720,066 and 204,356,772 is: 431,778,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,720,066 : 204,356,772 = 204,356,772 : x
  2. Step 2: Convert to fraction form
    96,720,066/204,356,772 = 204,356,772/x
  3. Step 3: Cross multiply
    96,720,066x = 204,356,772 × 204,356,772
  4. Step 4: Simplify right side
    96,720,066x = 41,761,690,262,259,984
  5. Step 5: Solve for x
    x = 41,761,690,262,259,984/96,720,066
  6. Step 6: Final answer
    x = 431,778,967.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.