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Finding the Third Proportional to 100,600.31 and 209,462.63

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Solution

The third proportional to 100,600.31 and 209,462.63 is: 436,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,600.31 : 209,462.63 = 209,462.63 : x
  2. Step 2: Convert to fraction form
    100,600.31/209,462.63 = 209,462.63/x
  3. Step 3: Cross multiply
    100,600.31x = 209,462.63 × 209,462.63
  4. Step 4: Simplify right side
    100,600.31x = 43,874,591,271.89
  5. Step 5: Solve for x
    x = 43,874,591,271.89/100,600.31
  6. Step 6: Final answer
    x = 436,127.78

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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.