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Finding the Third Proportional to 94,813 and 203,119

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Solution

The third proportional to 94,813 and 203,119 is: 435,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,813 : 203,119 = 203,119 : x
  2. Step 2: Convert to fraction form
    94,813/203,119 = 203,119/x
  3. Step 3: Cross multiply
    94,813x = 203,119 × 203,119
  4. Step 4: Simplify right side
    94,813x = 41,257,328,161
  5. Step 5: Solve for x
    x = 41,257,328,161/94,813
  6. Step 6: Final answer
    x = 435,144.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.