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Finding the Third Proportional to 46,221 and 94,632

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Solution

The third proportional to 46,221 and 94,632 is: 193,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,221 : 94,632 = 94,632 : x
  2. Step 2: Convert to fraction form
    46,221/94,632 = 94,632/x
  3. Step 3: Cross multiply
    46,221x = 94,632 × 94,632
  4. Step 4: Simplify right side
    46,221x = 8,955,215,424
  5. Step 5: Solve for x
    x = 8,955,215,424/46,221
  6. Step 6: Final answer
    x = 193,747.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.