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Finding the Third Proportional to 95,738 and 208,263

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Solution

The third proportional to 95,738 and 208,263 is: 453,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,738 : 208,263 = 208,263 : x
  2. Step 2: Convert to fraction form
    95,738/208,263 = 208,263/x
  3. Step 3: Cross multiply
    95,738x = 208,263 × 208,263
  4. Step 4: Simplify right side
    95,738x = 43,373,477,169
  5. Step 5: Solve for x
    x = 43,373,477,169/95,738
  6. Step 6: Final answer
    x = 453,043.49

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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.