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Finding the Third Proportional to 85,054.50 and 198,663.75

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Solution

The third proportional to 85,054.50 and 198,663.75 is: 464,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,054.50 : 198,663.75 = 198,663.75 : x
  2. Step 2: Convert to fraction form
    85,054.50/198,663.75 = 198,663.75/x
  3. Step 3: Cross multiply
    85,054.50x = 198,663.75 × 198,663.75
  4. Step 4: Simplify right side
    85,054.50x = 39,467,285,564.06
  5. Step 5: Solve for x
    x = 39,467,285,564.06/85,054.50
  6. Step 6: Final answer
    x = 464,023.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.