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Finding the Third Proportional to 95,924.50 and 210,884

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Solution

The third proportional to 95,924.50 and 210,884 is: 463,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,924.50 : 210,884 = 210,884 : x
  2. Step 2: Convert to fraction form
    95,924.50/210,884 = 210,884/x
  3. Step 3: Cross multiply
    95,924.50x = 210,884 × 210,884
  4. Step 4: Simplify right side
    95,924.50x = 44,472,061,456
  5. Step 5: Solve for x
    x = 44,472,061,456/95,924.50
  6. Step 6: Final answer
    x = 463,615.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.