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Finding the Third Proportional to 97,324.50 and 209,196.75

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Solution

The third proportional to 97,324.50 and 209,196.75 is: 449,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324.50 : 209,196.75 = 209,196.75 : x
  2. Step 2: Convert to fraction form
    97,324.50/209,196.75 = 209,196.75/x
  3. Step 3: Cross multiply
    97,324.50x = 209,196.75 × 209,196.75
  4. Step 4: Simplify right side
    97,324.50x = 43,763,280,210.56
  5. Step 5: Solve for x
    x = 43,763,280,210.56/97,324.50
  6. Step 6: Final answer
    x = 449,663.55

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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.