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Finding the Third Proportional to 99,736.31 and 213,480.56

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Solution

The third proportional to 99,736.31 and 213,480.56 is: 456,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,736.31 : 213,480.56 = 213,480.56 : x
  2. Step 2: Convert to fraction form
    99,736.31/213,480.56 = 213,480.56/x
  3. Step 3: Cross multiply
    99,736.31x = 213,480.56 × 213,480.56
  4. Step 4: Simplify right side
    99,736.31x = 45,573,950,565.32
  5. Step 5: Solve for x
    x = 45,573,950,565.32/99,736.31
  6. Step 6: Final answer
    x = 456,944.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.