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Finding the Third Proportional to 46,810 and 100,208

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Solution

The third proportional to 46,810 and 100,208 is: 214,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,810 : 100,208 = 100,208 : x
  2. Step 2: Convert to fraction form
    46,810/100,208 = 100,208/x
  3. Step 3: Cross multiply
    46,810x = 100,208 × 100,208
  4. Step 4: Simplify right side
    46,810x = 10,041,643,264
  5. Step 5: Solve for x
    x = 10,041,643,264/46,810
  6. Step 6: Final answer
    x = 214,519.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.