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Finding the Third Proportional to 95,852.75 and 201,620.50

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Solution

The third proportional to 95,852.75 and 201,620.50 is: 424,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,852.75 : 201,620.50 = 201,620.50 : x
  2. Step 2: Convert to fraction form
    95,852.75/201,620.50 = 201,620.50/x
  3. Step 3: Cross multiply
    95,852.75x = 201,620.50 × 201,620.50
  4. Step 4: Simplify right side
    95,852.75x = 40,650,826,020.25
  5. Step 5: Solve for x
    x = 40,650,826,020.25/95,852.75
  6. Step 6: Final answer
    x = 424,096.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.