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Finding the Third Proportional to 81,858,968 and 176,105,104

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Solution

The third proportional to 81,858,968 and 176,105,104 is: 378,859,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858,968 : 176,105,104 = 176,105,104 : x
  2. Step 2: Convert to fraction form
    81,858,968/176,105,104 = 176,105,104/x
  3. Step 3: Cross multiply
    81,858,968x = 176,105,104 × 176,105,104
  4. Step 4: Simplify right side
    81,858,968x = 31,013,007,654,850,816
  5. Step 5: Solve for x
    x = 31,013,007,654,850,816/81,858,968
  6. Step 6: Final answer
    x = 378,859,010.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.