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Finding the Third Proportional to 93,097.69 and 200,952.56

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Solution

The third proportional to 93,097.69 and 200,952.56 is: 433,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,097.69 : 200,952.56 = 200,952.56 : x
  2. Step 2: Convert to fraction form
    93,097.69/200,952.56 = 200,952.56/x
  3. Step 3: Cross multiply
    93,097.69x = 200,952.56 × 200,952.56
  4. Step 4: Simplify right side
    93,097.69x = 40,381,932,375.32
  5. Step 5: Solve for x
    x = 40,381,932,375.32/93,097.69
  6. Step 6: Final answer
    x = 433,758.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.