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Finding the Third Proportional to 106,103.67 and 165,613.99

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Solution

The third proportional to 106,103.67 and 165,613.99 is: 258,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,103.67 : 165,613.99 = 165,613.99 : x
  2. Step 2: Convert to fraction form
    106,103.67/165,613.99 = 165,613.99/x
  3. Step 3: Cross multiply
    106,103.67x = 165,613.99 × 165,613.99
  4. Step 4: Simplify right side
    106,103.67x = 27,427,994,408.28
  5. Step 5: Solve for x
    x = 27,427,994,408.28/106,103.67
  6. Step 6: Final answer
    x = 258,501.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.