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Finding the Third Proportional to 116,343.84 and 177,898.78

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Solution

The third proportional to 116,343.84 and 177,898.78 is: 272,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,343.84 : 177,898.78 = 177,898.78 : x
  2. Step 2: Convert to fraction form
    116,343.84/177,898.78 = 177,898.78/x
  3. Step 3: Cross multiply
    116,343.84x = 177,898.78 × 177,898.78
  4. Step 4: Simplify right side
    116,343.84x = 31,647,976,370.24
  5. Step 5: Solve for x
    x = 31,647,976,370.24/116,343.84
  6. Step 6: Final answer
    x = 272,021.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.