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Finding the Third Proportional to 123,110.19 and 264,611.31

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Solution

The third proportional to 123,110.19 and 264,611.31 is: 568,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,110.19 : 264,611.31 = 264,611.31 : x
  2. Step 2: Convert to fraction form
    123,110.19/264,611.31 = 264,611.31/x
  3. Step 3: Cross multiply
    123,110.19x = 264,611.31 × 264,611.31
  4. Step 4: Simplify right side
    123,110.19x = 70,019,146,702.97
  5. Step 5: Solve for x
    x = 70,019,146,702.97/123,110.19
  6. Step 6: Final answer
    x = 568,751.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.