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Finding the Third Proportional to 137,313.14 and 207,906.12

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Solution

The third proportional to 137,313.14 and 207,906.12 is: 314,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,313.14 : 207,906.12 = 207,906.12 : x
  2. Step 2: Convert to fraction form
    137,313.14/207,906.12 = 207,906.12/x
  3. Step 3: Cross multiply
    137,313.14x = 207,906.12 × 207,906.12
  4. Step 4: Simplify right side
    137,313.14x = 43,224,953,563.98
  5. Step 5: Solve for x
    x = 43,224,953,563.98/137,313.14
  6. Step 6: Final answer
    x = 314,791.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.