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Finding the Third Proportional to 97,350.75 and 209,244.38

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Solution

The third proportional to 97,350.75 and 209,244.38 is: 449,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,350.75 : 209,244.38 = 209,244.38 : x
  2. Step 2: Convert to fraction form
    97,350.75/209,244.38 = 209,244.38/x
  3. Step 3: Cross multiply
    97,350.75x = 209,244.38 × 209,244.38
  4. Step 4: Simplify right side
    97,350.75x = 43,783,208,469.14
  5. Step 5: Solve for x
    x = 43,783,208,469.14/97,350.75
  6. Step 6: Final answer
    x = 449,747.01

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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.