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Finding the Third Proportional to 106,201.50 and 229,611

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Solution

The third proportional to 106,201.50 and 229,611 is: 496,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,201.50 : 229,611 = 229,611 : x
  2. Step 2: Convert to fraction form
    106,201.50/229,611 = 229,611/x
  3. Step 3: Cross multiply
    106,201.50x = 229,611 × 229,611
  4. Step 4: Simplify right side
    106,201.50x = 52,721,211,321
  5. Step 5: Solve for x
    x = 52,721,211,321/106,201.50
  6. Step 6: Final answer
    x = 496,426.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.