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Finding the Third Proportional to 96,228 and 211,774.50

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Solution

The third proportional to 96,228 and 211,774.50 is: 466,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,228 : 211,774.50 = 211,774.50 : x
  2. Step 2: Convert to fraction form
    96,228/211,774.50 = 211,774.50/x
  3. Step 3: Cross multiply
    96,228x = 211,774.50 × 211,774.50
  4. Step 4: Simplify right side
    96,228x = 44,848,438,850.25
  5. Step 5: Solve for x
    x = 44,848,438,850.25/96,228
  6. Step 6: Final answer
    x = 466,064.34

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Why These Related Problems?

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