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Finding the Third Proportional to 129,941.94 and 194,383.88

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Solution

The third proportional to 129,941.94 and 194,383.88 is: 290,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,941.94 : 194,383.88 = 194,383.88 : x
  2. Step 2: Convert to fraction form
    129,941.94/194,383.88 = 194,383.88/x
  3. Step 3: Cross multiply
    129,941.94x = 194,383.88 × 194,383.88
  4. Step 4: Simplify right side
    129,941.94x = 37,785,090,860.02
  5. Step 5: Solve for x
    x = 37,785,090,860.02/129,941.94
  6. Step 6: Final answer
    x = 290,784.42

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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.