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Finding the Third Proportional to 46,832.25 and 100,364.25

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Solution

The third proportional to 46,832.25 and 100,364.25 is: 215,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,832.25 : 100,364.25 = 100,364.25 : x
  2. Step 2: Convert to fraction form
    46,832.25/100,364.25 = 100,364.25/x
  3. Step 3: Cross multiply
    46,832.25x = 100,364.25 × 100,364.25
  4. Step 4: Simplify right side
    46,832.25x = 10,072,982,678.06
  5. Step 5: Solve for x
    x = 10,072,982,678.06/46,832.25
  6. Step 6: Final answer
    x = 215,086.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.