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Finding the Third Proportional to 103,651.50 and 213,846

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Solution

The third proportional to 103,651.50 and 213,846 is: 441,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,651.50 : 213,846 = 213,846 : x
  2. Step 2: Convert to fraction form
    103,651.50/213,846 = 213,846/x
  3. Step 3: Cross multiply
    103,651.50x = 213,846 × 213,846
  4. Step 4: Simplify right side
    103,651.50x = 45,730,111,716
  5. Step 5: Solve for x
    x = 45,730,111,716/103,651.50
  6. Step 6: Final answer
    x = 441,191.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.