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Finding the Third Proportional to 95,097.75 and 200,804.25

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Solution

The third proportional to 95,097.75 and 200,804.25 is: 424,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,097.75 : 200,804.25 = 200,804.25 : x
  2. Step 2: Convert to fraction form
    95,097.75/200,804.25 = 200,804.25/x
  3. Step 3: Cross multiply
    95,097.75x = 200,804.25 × 200,804.25
  4. Step 4: Simplify right side
    95,097.75x = 40,322,346,818.06
  5. Step 5: Solve for x
    x = 40,322,346,818.06/95,097.75
  6. Step 6: Final answer
    x = 424,009.47

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Why These Related Problems?

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