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Finding the Third Proportional to 43,476 and 91,622.25

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Solution

The third proportional to 43,476 and 91,622.25 is: 193,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,476 : 91,622.25 = 91,622.25 : x
  2. Step 2: Convert to fraction form
    43,476/91,622.25 = 91,622.25/x
  3. Step 3: Cross multiply
    43,476x = 91,622.25 × 91,622.25
  4. Step 4: Simplify right side
    43,476x = 8,394,636,695.06
  5. Step 5: Solve for x
    x = 8,394,636,695.06/43,476
  6. Step 6: Final answer
    x = 193,086.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.