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Finding the Third Proportional to 139,816.13 and 209,739.38

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Solution

The third proportional to 139,816.13 and 209,739.38 is: 314,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,816.13 : 209,739.38 = 209,739.38 : x
  2. Step 2: Convert to fraction form
    139,816.13/209,739.38 = 209,739.38/x
  3. Step 3: Cross multiply
    139,816.13x = 209,739.38 × 209,739.38
  4. Step 4: Simplify right side
    139,816.13x = 43,990,605,425.39
  5. Step 5: Solve for x
    x = 43,990,605,425.39/139,816.13
  6. Step 6: Final answer
    x = 314,631.85

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Why These Related Problems?

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