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Finding the Third Proportional to 46,215 and 94,620.38

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Solution

The third proportional to 46,215 and 94,620.38 is: 193,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,215 : 94,620.38 = 94,620.38 : x
  2. Step 2: Convert to fraction form
    46,215/94,620.38 = 94,620.38/x
  3. Step 3: Cross multiply
    46,215x = 94,620.38 × 94,620.38
  4. Step 4: Simplify right side
    46,215x = 8,953,015,365.14
  5. Step 5: Solve for x
    x = 8,953,015,365.14/46,215
  6. Step 6: Final answer
    x = 193,725.31

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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.