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Finding the Third Proportional to 102,163.50 and 201,707.25

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Solution

The third proportional to 102,163.50 and 201,707.25 is: 398,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.50 : 201,707.25 = 201,707.25 : x
  2. Step 2: Convert to fraction form
    102,163.50/201,707.25 = 201,707.25/x
  3. Step 3: Cross multiply
    102,163.50x = 201,707.25 × 201,707.25
  4. Step 4: Simplify right side
    102,163.50x = 40,685,814,702.56
  5. Step 5: Solve for x
    x = 40,685,814,702.56/102,163.50
  6. Step 6: Final answer
    x = 398,242.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.