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Finding the Third Proportional to 97,553.25 and 209,659.50

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Solution

The third proportional to 97,553.25 and 209,659.50 is: 450,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,553.25 : 209,659.50 = 209,659.50 : x
  2. Step 2: Convert to fraction form
    97,553.25/209,659.50 = 209,659.50/x
  3. Step 3: Cross multiply
    97,553.25x = 209,659.50 × 209,659.50
  4. Step 4: Simplify right side
    97,553.25x = 43,957,105,940.25
  5. Step 5: Solve for x
    x = 43,957,105,940.25/97,553.25
  6. Step 6: Final answer
    x = 450,596.02

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