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Finding the Third Proportional to 122,806.13 and 195,280.03

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Solution

The third proportional to 122,806.13 and 195,280.03 is: 310,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,806.13 : 195,280.03 = 195,280.03 : x
  2. Step 2: Convert to fraction form
    122,806.13/195,280.03 = 195,280.03/x
  3. Step 3: Cross multiply
    122,806.13x = 195,280.03 × 195,280.03
  4. Step 4: Simplify right side
    122,806.13x = 38,134,290,605.00
  5. Step 5: Solve for x
    x = 38,134,290,605.00/122,806.13
  6. Step 6: Final answer
    x = 310,524.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.