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Finding the Third Proportional to 100,894.50 and 212,245.31

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Solution

The third proportional to 100,894.50 and 212,245.31 is: 446,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,894.50 : 212,245.31 = 212,245.31 : x
  2. Step 2: Convert to fraction form
    100,894.50/212,245.31 = 212,245.31/x
  3. Step 3: Cross multiply
    100,894.50x = 212,245.31 × 212,245.31
  4. Step 4: Simplify right side
    100,894.50x = 45,048,072,678.22
  5. Step 5: Solve for x
    x = 45,048,072,678.22/100,894.50
  6. Step 6: Final answer
    x = 446,486.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.