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Finding the Third Proportional to 91,697 and 200,890

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Solution

The third proportional to 91,697 and 200,890 is: 440,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,697 : 200,890 = 200,890 : x
  2. Step 2: Convert to fraction form
    91,697/200,890 = 200,890/x
  3. Step 3: Cross multiply
    91,697x = 200,890 × 200,890
  4. Step 4: Simplify right side
    91,697x = 40,356,792,100
  5. Step 5: Solve for x
    x = 40,356,792,100/91,697
  6. Step 6: Final answer
    x = 440,110.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.