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Finding the Third Proportional to 77,400.72 and 108,998.31

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Solution

The third proportional to 77,400.72 and 108,998.31 is: 153,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,400.72 : 108,998.31 = 108,998.31 : x
  2. Step 2: Convert to fraction form
    77,400.72/108,998.31 = 108,998.31/x
  3. Step 3: Cross multiply
    77,400.72x = 108,998.31 × 108,998.31
  4. Step 4: Simplify right side
    77,400.72x = 11,880,632,553.62
  5. Step 5: Solve for x
    x = 11,880,632,553.62/77,400.72
  6. Step 6: Final answer
    x = 153,495.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.