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Finding the Third Proportional to 46,930 and 94,628

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Solution

The third proportional to 46,930 and 94,628 is: 190,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,930 : 94,628 = 94,628 : x
  2. Step 2: Convert to fraction form
    46,930/94,628 = 94,628/x
  3. Step 3: Cross multiply
    46,930x = 94,628 × 94,628
  4. Step 4: Simplify right side
    46,930x = 8,954,458,384
  5. Step 5: Solve for x
    x = 8,954,458,384/46,930
  6. Step 6: Final answer
    x = 190,804.57

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.