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Finding the Third Proportional to 101,911.92 and 216,156.09

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Solution

The third proportional to 101,911.92 and 216,156.09 is: 458,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.92 : 216,156.09 = 216,156.09 : x
  2. Step 2: Convert to fraction form
    101,911.92/216,156.09 = 216,156.09/x
  3. Step 3: Cross multiply
    101,911.92x = 216,156.09 × 216,156.09
  4. Step 4: Simplify right side
    101,911.92x = 46,723,456,865.26
  5. Step 5: Solve for x
    x = 46,723,456,865.26/101,911.92
  6. Step 6: Final answer
    x = 458,469.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.