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Finding the Third Proportional to 95,157.28 and 206,717.06

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Solution

The third proportional to 95,157.28 and 206,717.06 is: 449,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,157.28 : 206,717.06 = 206,717.06 : x
  2. Step 2: Convert to fraction form
    95,157.28/206,717.06 = 206,717.06/x
  3. Step 3: Cross multiply
    95,157.28x = 206,717.06 × 206,717.06
  4. Step 4: Simplify right side
    95,157.28x = 42,731,943,928.63
  5. Step 5: Solve for x
    x = 42,731,943,928.63/95,157.28
  6. Step 6: Final answer
    x = 449,066.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.