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Finding the Third Proportional to 194,551.88 and 419,104.13

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Solution

The third proportional to 194,551.88 and 419,104.13 is: 902,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,551.88 : 419,104.13 = 419,104.13 : x
  2. Step 2: Convert to fraction form
    194,551.88/419,104.13 = 419,104.13/x
  3. Step 3: Cross multiply
    194,551.88x = 419,104.13 × 419,104.13
  4. Step 4: Simplify right side
    194,551.88x = 175,648,267,592.02
  5. Step 5: Solve for x
    x = 175,648,267,592.02/194,551.88
  6. Step 6: Final answer
    x = 902,835.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.