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Finding the Third Proportional to 91,878 and 200,164

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Solution

The third proportional to 91,878 and 200,164 is: 436,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,878 : 200,164 = 200,164 : x
  2. Step 2: Convert to fraction form
    91,878/200,164 = 200,164/x
  3. Step 3: Cross multiply
    91,878x = 200,164 × 200,164
  4. Step 4: Simplify right side
    91,878x = 40,065,626,896
  5. Step 5: Solve for x
    x = 40,065,626,896/91,878
  6. Step 6: Final answer
    x = 436,074.22

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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.