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Finding the Third Proportional to 46,943 and 104,380.50

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Solution

The third proportional to 46,943 and 104,380.50 is: 232,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,943 : 104,380.50 = 104,380.50 : x
  2. Step 2: Convert to fraction form
    46,943/104,380.50 = 104,380.50/x
  3. Step 3: Cross multiply
    46,943x = 104,380.50 × 104,380.50
  4. Step 4: Simplify right side
    46,943x = 10,895,288,780.25
  5. Step 5: Solve for x
    x = 10,895,288,780.25/46,943
  6. Step 6: Final answer
    x = 232,096.13

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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.