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Finding the Third Proportional to 139,002.75 and 305,069.63

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Solution

The third proportional to 139,002.75 and 305,069.63 is: 669,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,002.75 : 305,069.63 = 305,069.63 : x
  2. Step 2: Convert to fraction form
    139,002.75/305,069.63 = 305,069.63/x
  3. Step 3: Cross multiply
    139,002.75x = 305,069.63 × 305,069.63
  4. Step 4: Simplify right side
    139,002.75x = 93,067,476,097.64
  5. Step 5: Solve for x
    x = 93,067,476,097.64/139,002.75
  6. Step 6: Final answer
    x = 669,536.94

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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.