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Finding the Third Proportional to 46,942.03 and 104,379.26

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Solution

The third proportional to 46,942.03 and 104,379.26 is: 232,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,942.03 : 104,379.26 = 104,379.26 : x
  2. Step 2: Convert to fraction form
    46,942.03/104,379.26 = 104,379.26/x
  3. Step 3: Cross multiply
    46,942.03x = 104,379.26 × 104,379.26
  4. Step 4: Simplify right side
    46,942.03x = 10,895,029,461.49
  5. Step 5: Solve for x
    x = 10,895,029,461.49/46,942.03
  6. Step 6: Final answer
    x = 232,095.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.