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Finding the Third Proportional to 46,221 and 94,633

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Solution

The third proportional to 46,221 and 94,633 is: 193,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,221 : 94,633 = 94,633 : x
  2. Step 2: Convert to fraction form
    46,221/94,633 = 94,633/x
  3. Step 3: Cross multiply
    46,221x = 94,633 × 94,633
  4. Step 4: Simplify right side
    46,221x = 8,955,404,689
  5. Step 5: Solve for x
    x = 8,955,404,689/46,221
  6. Step 6: Final answer
    x = 193,751.86

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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.