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Finding the Third Proportional to 107,605.97 and 235,665.70

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Solution

The third proportional to 107,605.97 and 235,665.70 is: 516,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,605.97 : 235,665.70 = 235,665.70 : x
  2. Step 2: Convert to fraction form
    107,605.97/235,665.70 = 235,665.70/x
  3. Step 3: Cross multiply
    107,605.97x = 235,665.70 × 235,665.70
  4. Step 4: Simplify right side
    107,605.97x = 55,538,323,629.40
  5. Step 5: Solve for x
    x = 55,538,323,629.40/107,605.97
  6. Step 6: Final answer
    x = 516,126.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.