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Finding the Third Proportional to 46,220 and 94,631

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Solution

The third proportional to 46,220 and 94,631 is: 193,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,220 : 94,631 = 94,631 : x
  2. Step 2: Convert to fraction form
    46,220/94,631 = 94,631/x
  3. Step 3: Cross multiply
    46,220x = 94,631 × 94,631
  4. Step 4: Simplify right side
    46,220x = 8,955,026,161
  5. Step 5: Solve for x
    x = 8,955,026,161/46,220
  6. Step 6: Final answer
    x = 193,747.86

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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.