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Finding the Third Proportional to 94,407 and 196,512

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Solution

The third proportional to 94,407 and 196,512 is: 409,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,407 : 196,512 = 196,512 : x
  2. Step 2: Convert to fraction form
    94,407/196,512 = 196,512/x
  3. Step 3: Cross multiply
    94,407x = 196,512 × 196,512
  4. Step 4: Simplify right side
    94,407x = 38,616,966,144
  5. Step 5: Solve for x
    x = 38,616,966,144/94,407
  6. Step 6: Final answer
    x = 409,047.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.