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Finding the Third Proportional to 116,958.94 and 177,901.31

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Solution

The third proportional to 116,958.94 and 177,901.31 is: 270,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,958.94 : 177,901.31 = 177,901.31 : x
  2. Step 2: Convert to fraction form
    116,958.94/177,901.31 = 177,901.31/x
  3. Step 3: Cross multiply
    116,958.94x = 177,901.31 × 177,901.31
  4. Step 4: Simplify right side
    116,958.94x = 31,648,876,989.22
  5. Step 5: Solve for x
    x = 31,648,876,989.22/116,958.94
  6. Step 6: Final answer
    x = 270,598.19

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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.