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Finding the Third Proportional to 139,262.63 and 209,202.75

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Solution

The third proportional to 139,262.63 and 209,202.75 is: 314,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,262.63 : 209,202.75 = 209,202.75 : x
  2. Step 2: Convert to fraction form
    139,262.63/209,202.75 = 209,202.75/x
  3. Step 3: Cross multiply
    139,262.63x = 209,202.75 × 209,202.75
  4. Step 4: Simplify right side
    139,262.63x = 43,765,790,607.56
  5. Step 5: Solve for x
    x = 43,765,790,607.56/139,262.63
  6. Step 6: Final answer
    x = 314,268.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.