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Finding the Third Proportional to 97,500.38 and 209,553.19

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Solution

The third proportional to 97,500.38 and 209,553.19 is: 450,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,500.38 : 209,553.19 = 209,553.19 : x
  2. Step 2: Convert to fraction form
    97,500.38/209,553.19 = 209,553.19/x
  3. Step 3: Cross multiply
    97,500.38x = 209,553.19 × 209,553.19
  4. Step 4: Simplify right side
    97,500.38x = 43,912,538,391.41
  5. Step 5: Solve for x
    x = 43,912,538,391.41/97,500.38
  6. Step 6: Final answer
    x = 450,383.28

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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.