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Finding the Third Proportional to 46,806 and 101,493.75

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Solution

The third proportional to 46,806 and 101,493.75 is: 220,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806 : 101,493.75 = 101,493.75 : x
  2. Step 2: Convert to fraction form
    46,806/101,493.75 = 101,493.75/x
  3. Step 3: Cross multiply
    46,806x = 101,493.75 × 101,493.75
  4. Step 4: Simplify right side
    46,806x = 10,300,981,289.06
  5. Step 5: Solve for x
    x = 10,300,981,289.06/46,806
  6. Step 6: Final answer
    x = 220,078.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.