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Finding the Third Proportional to 176,297,568 and 380,923,104

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Solution

The third proportional to 176,297,568 and 380,923,104 is: 823,053,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,297,568 : 380,923,104 = 380,923,104 : x
  2. Step 2: Convert to fraction form
    176,297,568/380,923,104 = 380,923,104/x
  3. Step 3: Cross multiply
    176,297,568x = 380,923,104 × 380,923,104
  4. Step 4: Simplify right side
    176,297,568x = 145,102,411,160,994,816
  5. Step 5: Solve for x
    x = 145,102,411,160,994,816/176,297,568
  6. Step 6: Final answer
    x = 823,053,958.19

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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.