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Finding the Third Proportional to 94,546 and 193,946

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Solution

The third proportional to 94,546 and 193,946 is: 397,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,546 : 193,946 = 193,946 : x
  2. Step 2: Convert to fraction form
    94,546/193,946 = 193,946/x
  3. Step 3: Cross multiply
    94,546x = 193,946 × 193,946
  4. Step 4: Simplify right side
    94,546x = 37,615,050,916
  5. Step 5: Solve for x
    x = 37,615,050,916/94,546
  6. Step 6: Final answer
    x = 397,849.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.