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Finding the Third Proportional to 96,663 and 196,053

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Solution

The third proportional to 96,663 and 196,053 is: 397,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,663 : 196,053 = 196,053 : x
  2. Step 2: Convert to fraction form
    96,663/196,053 = 196,053/x
  3. Step 3: Cross multiply
    96,663x = 196,053 × 196,053
  4. Step 4: Simplify right side
    96,663x = 38,436,778,809
  5. Step 5: Solve for x
    x = 38,436,778,809/96,663
  6. Step 6: Final answer
    x = 397,636.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.