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Finding the Third Proportional to 44,618 and 92,933

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Solution

The third proportional to 44,618 and 92,933 is: 193,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,618 : 92,933 = 92,933 : x
  2. Step 2: Convert to fraction form
    44,618/92,933 = 92,933/x
  3. Step 3: Cross multiply
    44,618x = 92,933 × 92,933
  4. Step 4: Simplify right side
    44,618x = 8,636,542,489
  5. Step 5: Solve for x
    x = 8,636,542,489/44,618
  6. Step 6: Final answer
    x = 193,566.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.