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Finding the Third Proportional to 96,452 and 211,578.50

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Solution

The third proportional to 96,452 and 211,578.50 is: 464,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,452 : 211,578.50 = 211,578.50 : x
  2. Step 2: Convert to fraction form
    96,452/211,578.50 = 211,578.50/x
  3. Step 3: Cross multiply
    96,452x = 211,578.50 × 211,578.50
  4. Step 4: Simplify right side
    96,452x = 44,765,461,662.25
  5. Step 5: Solve for x
    x = 44,765,461,662.25/96,452
  6. Step 6: Final answer
    x = 464,121.65

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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.