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Finding the Third Proportional to 96,539.63 and 204,135.75

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Solution

The third proportional to 96,539.63 and 204,135.75 is: 431,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,539.63 : 204,135.75 = 204,135.75 : x
  2. Step 2: Convert to fraction form
    96,539.63/204,135.75 = 204,135.75/x
  3. Step 3: Cross multiply
    96,539.63x = 204,135.75 × 204,135.75
  4. Step 4: Simplify right side
    96,539.63x = 41,671,404,428.06
  5. Step 5: Solve for x
    x = 41,671,404,428.06/96,539.63
  6. Step 6: Final answer
    x = 431,650.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.