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Finding the Third Proportional to 94,023.50 and 195,823

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Solution

The third proportional to 94,023.50 and 195,823 is: 407,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,023.50 : 195,823 = 195,823 : x
  2. Step 2: Convert to fraction form
    94,023.50/195,823 = 195,823/x
  3. Step 3: Cross multiply
    94,023.50x = 195,823 × 195,823
  4. Step 4: Simplify right side
    94,023.50x = 38,346,647,329
  5. Step 5: Solve for x
    x = 38,346,647,329/94,023.50
  6. Step 6: Final answer
    x = 407,841.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.