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Finding the Third Proportional to 91,456 and 199,669

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Solution

The third proportional to 91,456 and 199,669 is: 435,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,456 : 199,669 = 199,669 : x
  2. Step 2: Convert to fraction form
    91,456/199,669 = 199,669/x
  3. Step 3: Cross multiply
    91,456x = 199,669 × 199,669
  4. Step 4: Simplify right side
    91,456x = 39,867,709,561
  5. Step 5: Solve for x
    x = 39,867,709,561/91,456
  6. Step 6: Final answer
    x = 435,922.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.