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Finding the Third Proportional to 97,779.75 and 206,067.75

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Solution

The third proportional to 97,779.75 and 206,067.75 is: 434,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,779.75 : 206,067.75 = 206,067.75 : x
  2. Step 2: Convert to fraction form
    97,779.75/206,067.75 = 206,067.75/x
  3. Step 3: Cross multiply
    97,779.75x = 206,067.75 × 206,067.75
  4. Step 4: Simplify right side
    97,779.75x = 42,463,917,590.06
  5. Step 5: Solve for x
    x = 42,463,917,590.06/97,779.75
  6. Step 6: Final answer
    x = 434,281.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.