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Finding the Third Proportional to 122,797 and 190,189.50

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Solution

The third proportional to 122,797 and 190,189.50 is: 294,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,797 : 190,189.50 = 190,189.50 : x
  2. Step 2: Convert to fraction form
    122,797/190,189.50 = 190,189.50/x
  3. Step 3: Cross multiply
    122,797x = 190,189.50 × 190,189.50
  4. Step 4: Simplify right side
    122,797x = 36,172,045,910.25
  5. Step 5: Solve for x
    x = 36,172,045,910.25/122,797
  6. Step 6: Final answer
    x = 294,567.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.