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Finding the Third Proportional to 95,145.75 and 204,643.69

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Solution

The third proportional to 95,145.75 and 204,643.69 is: 440,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,145.75 : 204,643.69 = 204,643.69 : x
  2. Step 2: Convert to fraction form
    95,145.75/204,643.69 = 204,643.69/x
  3. Step 3: Cross multiply
    95,145.75x = 204,643.69 × 204,643.69
  4. Step 4: Simplify right side
    95,145.75x = 41,879,038,833.60
  5. Step 5: Solve for x
    x = 41,879,038,833.60/95,145.75
  6. Step 6: Final answer
    x = 440,156.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.