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Finding the Third Proportional to 135,698.63 and 194,737.50

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Solution

The third proportional to 135,698.63 and 194,737.50 is: 279,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,698.63 : 194,737.50 = 194,737.50 : x
  2. Step 2: Convert to fraction form
    135,698.63/194,737.50 = 194,737.50/x
  3. Step 3: Cross multiply
    135,698.63x = 194,737.50 × 194,737.50
  4. Step 4: Simplify right side
    135,698.63x = 37,922,693,906.25
  5. Step 5: Solve for x
    x = 37,922,693,906.25/135,698.63
  6. Step 6: Final answer
    x = 279,462.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.