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Finding the Third Proportional to 95,325.75 and 205,427.25

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Solution

The third proportional to 95,325.75 and 205,427.25 is: 442,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,325.75 : 205,427.25 = 205,427.25 : x
  2. Step 2: Convert to fraction form
    95,325.75/205,427.25 = 205,427.25/x
  3. Step 3: Cross multiply
    95,325.75x = 205,427.25 × 205,427.25
  4. Step 4: Simplify right side
    95,325.75x = 42,200,355,042.56
  5. Step 5: Solve for x
    x = 42,200,355,042.56/95,325.75
  6. Step 6: Final answer
    x = 442,696.28

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Why These Related Problems?

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