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Finding the Third Proportional to 85,554 and 199,890

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Solution

The third proportional to 85,554 and 199,890 is: 467,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,554 : 199,890 = 199,890 : x
  2. Step 2: Convert to fraction form
    85,554/199,890 = 199,890/x
  3. Step 3: Cross multiply
    85,554x = 199,890 × 199,890
  4. Step 4: Simplify right side
    85,554x = 39,956,012,100
  5. Step 5: Solve for x
    x = 39,956,012,100/85,554
  6. Step 6: Final answer
    x = 467,026.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.