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Finding the Third Proportional to 181,385,161 and 370,383,634

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Solution

The third proportional to 181,385,161 and 370,383,634 is: 756,313,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,385,161 : 370,383,634 = 370,383,634 : x
  2. Step 2: Convert to fraction form
    181,385,161/370,383,634 = 370,383,634/x
  3. Step 3: Cross multiply
    181,385,161x = 370,383,634 × 370,383,634
  4. Step 4: Simplify right side
    181,385,161x = 137,184,036,335,045,952
  5. Step 5: Solve for x
    x = 137,184,036,335,045,952/181,385,161
  6. Step 6: Final answer
    x = 756,313,446.91

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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.