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Finding the Third Proportional to 136,606.50 and 203,509.13

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Solution

The third proportional to 136,606.50 and 203,509.13 is: 303,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,606.50 : 203,509.13 = 203,509.13 : x
  2. Step 2: Convert to fraction form
    136,606.50/203,509.13 = 203,509.13/x
  3. Step 3: Cross multiply
    136,606.50x = 203,509.13 × 203,509.13
  4. Step 4: Simplify right side
    136,606.50x = 41,415,963,958.27
  5. Step 5: Solve for x
    x = 41,415,963,958.27/136,606.50
  6. Step 6: Final answer
    x = 303,177.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.