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Finding the Third Proportional to 95,682 and 208,846.50

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Solution

The third proportional to 95,682 and 208,846.50 is: 455,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,682 : 208,846.50 = 208,846.50 : x
  2. Step 2: Convert to fraction form
    95,682/208,846.50 = 208,846.50/x
  3. Step 3: Cross multiply
    95,682x = 208,846.50 × 208,846.50
  4. Step 4: Simplify right side
    95,682x = 43,616,860,562.25
  5. Step 5: Solve for x
    x = 43,616,860,562.25/95,682
  6. Step 6: Final answer
    x = 455,852.31

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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.