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Finding the Third Proportional to 97,317.28 and 209,183.34

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Solution

The third proportional to 97,317.28 and 209,183.34 is: 449,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,317.28 : 209,183.34 = 209,183.34 : x
  2. Step 2: Convert to fraction form
    97,317.28/209,183.34 = 209,183.34/x
  3. Step 3: Cross multiply
    97,317.28x = 209,183.34 × 209,183.34
  4. Step 4: Simplify right side
    97,317.28x = 43,757,671,302.43
  5. Step 5: Solve for x
    x = 43,757,671,302.43/97,317.28
  6. Step 6: Final answer
    x = 449,639.27

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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.