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Finding the Third Proportional to 181,385,175 and 370,383,662

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Solution

The third proportional to 181,385,175 and 370,383,662 is: 756,313,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,385,175 : 370,383,662 = 370,383,662 : x
  2. Step 2: Convert to fraction form
    181,385,175/370,383,662 = 370,383,662/x
  3. Step 3: Cross multiply
    181,385,175x = 370,383,662 × 370,383,662
  4. Step 4: Simplify right side
    181,385,175x = 137,184,057,076,530,240
  5. Step 5: Solve for x
    x = 137,184,057,076,530,240/181,385,175
  6. Step 6: Final answer
    x = 756,313,502.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.