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Finding the Third Proportional to 104,226.75 and 211,683.38

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Solution

The third proportional to 104,226.75 and 211,683.38 is: 429,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,226.75 : 211,683.38 = 211,683.38 : x
  2. Step 2: Convert to fraction form
    104,226.75/211,683.38 = 211,683.38/x
  3. Step 3: Cross multiply
    104,226.75x = 211,683.38 × 211,683.38
  4. Step 4: Simplify right side
    104,226.75x = 44,809,851,251.39
  5. Step 5: Solve for x
    x = 44,809,851,251.39/104,226.75
  6. Step 6: Final answer
    x = 429,926.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.