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Finding the Third Proportional to 104,247 and 212,181.75

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Solution

The third proportional to 104,247 and 212,181.75 is: 431,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,247 : 212,181.75 = 212,181.75 : x
  2. Step 2: Convert to fraction form
    104,247/212,181.75 = 212,181.75/x
  3. Step 3: Cross multiply
    104,247x = 212,181.75 × 212,181.75
  4. Step 4: Simplify right side
    104,247x = 45,021,095,033.06
  5. Step 5: Solve for x
    x = 45,021,095,033.06/104,247
  6. Step 6: Final answer
    x = 431,869.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.