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Finding the Third Proportional to 43,851 and 96,449.50

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Solution

The third proportional to 43,851 and 96,449.50 is: 212,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,851 : 96,449.50 = 96,449.50 : x
  2. Step 2: Convert to fraction form
    43,851/96,449.50 = 96,449.50/x
  3. Step 3: Cross multiply
    43,851x = 96,449.50 × 96,449.50
  4. Step 4: Simplify right side
    43,851x = 9,302,506,050.25
  5. Step 5: Solve for x
    x = 9,302,506,050.25/43,851
  6. Step 6: Final answer
    x = 212,138.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.