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Finding the Third Proportional to 107,198.12 and 233,078.77

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Solution

The third proportional to 107,198.12 and 233,078.77 is: 506,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,198.12 : 233,078.77 = 233,078.77 : x
  2. Step 2: Convert to fraction form
    107,198.12/233,078.77 = 233,078.77/x
  3. Step 3: Cross multiply
    107,198.12x = 233,078.77 × 233,078.77
  4. Step 4: Simplify right side
    107,198.12x = 54,325,710,985.27
  5. Step 5: Solve for x
    x = 54,325,710,985.27/107,198.12
  6. Step 6: Final answer
    x = 506,778.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.