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Finding the Third Proportional to 46,045 and 100,418

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Solution

The third proportional to 46,045 and 100,418 is: 218,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,045 : 100,418 = 100,418 : x
  2. Step 2: Convert to fraction form
    46,045/100,418 = 100,418/x
  3. Step 3: Cross multiply
    46,045x = 100,418 × 100,418
  4. Step 4: Simplify right side
    46,045x = 10,083,774,724
  5. Step 5: Solve for x
    x = 10,083,774,724/46,045
  6. Step 6: Final answer
    x = 218,998.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.