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Finding the Third Proportional to 103,950.84 and 110,511.84

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Solution

The third proportional to 103,950.84 and 110,511.84 is: 117,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,950.84 : 110,511.84 = 110,511.84 : x
  2. Step 2: Convert to fraction form
    103,950.84/110,511.84 = 110,511.84/x
  3. Step 3: Cross multiply
    103,950.84x = 110,511.84 × 110,511.84
  4. Step 4: Simplify right side
    103,950.84x = 12,212,867,609.02
  5. Step 5: Solve for x
    x = 12,212,867,609.02/103,950.84
  6. Step 6: Final answer
    x = 117,486.95

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.