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Finding the Third Proportional to 46,764 and 100,228

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Solution

The third proportional to 46,764 and 100,228 is: 214,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764 : 100,228 = 100,228 : x
  2. Step 2: Convert to fraction form
    46,764/100,228 = 100,228/x
  3. Step 3: Cross multiply
    46,764x = 100,228 × 100,228
  4. Step 4: Simplify right side
    46,764x = 10,045,651,984
  5. Step 5: Solve for x
    x = 10,045,651,984/46,764
  6. Step 6: Final answer
    x = 214,815.93

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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.