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Finding the Third Proportional to 95,693.06 and 206,010

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Solution

The third proportional to 95,693.06 and 206,010 is: 443,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,693.06 : 206,010 = 206,010 : x
  2. Step 2: Convert to fraction form
    95,693.06/206,010 = 206,010/x
  3. Step 3: Cross multiply
    95,693.06x = 206,010 × 206,010
  4. Step 4: Simplify right side
    95,693.06x = 42,440,120,100
  5. Step 5: Solve for x
    x = 42,440,120,100/95,693.06
  6. Step 6: Final answer
    x = 443,502.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.