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Finding the Third Proportional to 97,328.25 and 209,207.25

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Solution

The third proportional to 97,328.25 and 209,207.25 is: 449,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,328.25 : 209,207.25 = 209,207.25 : x
  2. Step 2: Convert to fraction form
    97,328.25/209,207.25 = 209,207.25/x
  3. Step 3: Cross multiply
    97,328.25x = 209,207.25 × 209,207.25
  4. Step 4: Simplify right side
    97,328.25x = 43,767,673,452.56
  5. Step 5: Solve for x
    x = 43,767,673,452.56/97,328.25
  6. Step 6: Final answer
    x = 449,691.36

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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.