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Finding the Third Proportional to 100,213.31 and 208,718.72

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Solution

The third proportional to 100,213.31 and 208,718.72 is: 434,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.31 : 208,718.72 = 208,718.72 : x
  2. Step 2: Convert to fraction form
    100,213.31/208,718.72 = 208,718.72/x
  3. Step 3: Cross multiply
    100,213.31x = 208,718.72 × 208,718.72
  4. Step 4: Simplify right side
    100,213.31x = 43,563,503,556.64
  5. Step 5: Solve for x
    x = 43,563,503,556.64/100,213.31
  6. Step 6: Final answer
    x = 434,707.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.