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Finding the Third Proportional to 116,980.88 and 177,933.38

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Solution

The third proportional to 116,980.88 and 177,933.38 is: 270,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,980.88 : 177,933.38 = 177,933.38 : x
  2. Step 2: Convert to fraction form
    116,980.88/177,933.38 = 177,933.38/x
  3. Step 3: Cross multiply
    116,980.88x = 177,933.38 × 177,933.38
  4. Step 4: Simplify right side
    116,980.88x = 31,660,285,938.89
  5. Step 5: Solve for x
    x = 31,660,285,938.89/116,980.88
  6. Step 6: Final answer
    x = 270,644.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.