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Finding the Third Proportional to 101,946.09 and 220,294.69

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Solution

The third proportional to 101,946.09 and 220,294.69 is: 476,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,946.09 : 220,294.69 = 220,294.69 : x
  2. Step 2: Convert to fraction form
    101,946.09/220,294.69 = 220,294.69/x
  3. Step 3: Cross multiply
    101,946.09x = 220,294.69 × 220,294.69
  4. Step 4: Simplify right side
    101,946.09x = 48,529,749,340.72
  5. Step 5: Solve for x
    x = 48,529,749,340.72/101,946.09
  6. Step 6: Final answer
    x = 476,033.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.