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Finding the Third Proportional to 97,627.50 and 213,939

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Solution

The third proportional to 97,627.50 and 213,939 is: 468,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,627.50 : 213,939 = 213,939 : x
  2. Step 2: Convert to fraction form
    97,627.50/213,939 = 213,939/x
  3. Step 3: Cross multiply
    97,627.50x = 213,939 × 213,939
  4. Step 4: Simplify right side
    97,627.50x = 45,769,895,721
  5. Step 5: Solve for x
    x = 45,769,895,721/97,627.50
  6. Step 6: Final answer
    x = 468,821.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.