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Finding the Third Proportional to 46,135 and 100,886

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Solution

The third proportional to 46,135 and 100,886 is: 220,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135 : 100,886 = 100,886 : x
  2. Step 2: Convert to fraction form
    46,135/100,886 = 100,886/x
  3. Step 3: Cross multiply
    46,135x = 100,886 × 100,886
  4. Step 4: Simplify right side
    46,135x = 10,177,984,996
  5. Step 5: Solve for x
    x = 10,177,984,996/46,135
  6. Step 6: Final answer
    x = 220,613.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.