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Finding the Third Proportional to 97,116 and 197,796

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Solution

The third proportional to 97,116 and 197,796 is: 402,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116 : 197,796 = 197,796 : x
  2. Step 2: Convert to fraction form
    97,116/197,796 = 197,796/x
  3. Step 3: Cross multiply
    97,116x = 197,796 × 197,796
  4. Step 4: Simplify right side
    97,116x = 39,123,257,616
  5. Step 5: Solve for x
    x = 39,123,257,616/97,116
  6. Step 6: Final answer
    x = 402,850.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.