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Finding the Third Proportional to 94,608 and 201,912

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Solution

The third proportional to 94,608 and 201,912 is: 430,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,608 : 201,912 = 201,912 : x
  2. Step 2: Convert to fraction form
    94,608/201,912 = 201,912/x
  3. Step 3: Cross multiply
    94,608x = 201,912 × 201,912
  4. Step 4: Simplify right side
    94,608x = 40,768,455,744
  5. Step 5: Solve for x
    x = 40,768,455,744/94,608
  6. Step 6: Final answer
    x = 430,919.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.