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Finding the Third Proportional to 108,868.50 and 222,111

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Solution

The third proportional to 108,868.50 and 222,111 is: 453,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,868.50 : 222,111 = 222,111 : x
  2. Step 2: Convert to fraction form
    108,868.50/222,111 = 222,111/x
  3. Step 3: Cross multiply
    108,868.50x = 222,111 × 222,111
  4. Step 4: Simplify right side
    108,868.50x = 49,333,296,321
  5. Step 5: Solve for x
    x = 49,333,296,321/108,868.50
  6. Step 6: Final answer
    x = 453,145.73

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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.