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Finding the Third Proportional to 46,047 and 100,422

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Solution

The third proportional to 46,047 and 100,422 is: 219,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,047 : 100,422 = 100,422 : x
  2. Step 2: Convert to fraction form
    46,047/100,422 = 100,422/x
  3. Step 3: Cross multiply
    46,047x = 100,422 × 100,422
  4. Step 4: Simplify right side
    46,047x = 10,084,578,084
  5. Step 5: Solve for x
    x = 10,084,578,084/46,047
  6. Step 6: Final answer
    x = 219,006.19

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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.