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Finding the Third Proportional to 101,805.75 and 219,218.63

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Solution

The third proportional to 101,805.75 and 219,218.63 is: 472,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805.75 : 219,218.63 = 219,218.63 : x
  2. Step 2: Convert to fraction form
    101,805.75/219,218.63 = 219,218.63/x
  3. Step 3: Cross multiply
    101,805.75x = 219,218.63 × 219,218.63
  4. Step 4: Simplify right side
    101,805.75x = 48,056,805,546.89
  5. Step 5: Solve for x
    x = 48,056,805,546.89/101,805.75
  6. Step 6: Final answer
    x = 472,044.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.