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Finding the Third Proportional to 95,775.75 and 208,305

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Solution

The third proportional to 95,775.75 and 208,305 is: 453,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,775.75 : 208,305 = 208,305 : x
  2. Step 2: Convert to fraction form
    95,775.75/208,305 = 208,305/x
  3. Step 3: Cross multiply
    95,775.75x = 208,305 × 208,305
  4. Step 4: Simplify right side
    95,775.75x = 43,390,973,025
  5. Step 5: Solve for x
    x = 43,390,973,025/95,775.75
  6. Step 6: Final answer
    x = 453,047.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.