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Finding the Third Proportional to 95,068.69 and 203,634

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Solution

The third proportional to 95,068.69 and 203,634 is: 436,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,068.69 : 203,634 = 203,634 : x
  2. Step 2: Convert to fraction form
    95,068.69/203,634 = 203,634/x
  3. Step 3: Cross multiply
    95,068.69x = 203,634 × 203,634
  4. Step 4: Simplify right side
    95,068.69x = 41,466,805,956
  5. Step 5: Solve for x
    x = 41,466,805,956/95,068.69
  6. Step 6: Final answer
    x = 436,177.33

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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.