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Finding the Third Proportional to 95,911.88 and 208,995.75

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Solution

The third proportional to 95,911.88 and 208,995.75 is: 455,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,911.88 : 208,995.75 = 208,995.75 : x
  2. Step 2: Convert to fraction form
    95,911.88/208,995.75 = 208,995.75/x
  3. Step 3: Cross multiply
    95,911.88x = 208,995.75 × 208,995.75
  4. Step 4: Simplify right side
    95,911.88x = 43,679,223,518.06
  5. Step 5: Solve for x
    x = 43,679,223,518.06/95,911.88
  6. Step 6: Final answer
    x = 455,409.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.