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Finding the Third Proportional to 97,614.50 and 197,945.25

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Solution

The third proportional to 97,614.50 and 197,945.25 is: 401,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614.50 : 197,945.25 = 197,945.25 : x
  2. Step 2: Convert to fraction form
    97,614.50/197,945.25 = 197,945.25/x
  3. Step 3: Cross multiply
    97,614.50x = 197,945.25 × 197,945.25
  4. Step 4: Simplify right side
    97,614.50x = 39,182,321,997.56
  5. Step 5: Solve for x
    x = 39,182,321,997.56/97,614.50
  6. Step 6: Final answer
    x = 401,398.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.