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Finding the Third Proportional to 46,943 and 104,381.50

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Solution

The third proportional to 46,943 and 104,381.50 is: 232,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,943 : 104,381.50 = 104,381.50 : x
  2. Step 2: Convert to fraction form
    46,943/104,381.50 = 104,381.50/x
  3. Step 3: Cross multiply
    46,943x = 104,381.50 × 104,381.50
  4. Step 4: Simplify right side
    46,943x = 10,895,497,542.25
  5. Step 5: Solve for x
    x = 10,895,497,542.25/46,943
  6. Step 6: Final answer
    x = 232,100.58

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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.