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Finding the Third Proportional to 95,097.50 and 200,803.50

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Solution

The third proportional to 95,097.50 and 200,803.50 is: 424,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,097.50 : 200,803.50 = 200,803.50 : x
  2. Step 2: Convert to fraction form
    95,097.50/200,803.50 = 200,803.50/x
  3. Step 3: Cross multiply
    95,097.50x = 200,803.50 × 200,803.50
  4. Step 4: Simplify right side
    95,097.50x = 40,322,045,612.25
  5. Step 5: Solve for x
    x = 40,322,045,612.25/95,097.50
  6. Step 6: Final answer
    x = 424,007.42

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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.