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Finding the Third Proportional to 104,091 and 202,998

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Solution

The third proportional to 104,091 and 202,998 is: 395,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,091 : 202,998 = 202,998 : x
  2. Step 2: Convert to fraction form
    104,091/202,998 = 202,998/x
  3. Step 3: Cross multiply
    104,091x = 202,998 × 202,998
  4. Step 4: Simplify right side
    104,091x = 41,208,188,004
  5. Step 5: Solve for x
    x = 41,208,188,004/104,091
  6. Step 6: Final answer
    x = 395,886.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.