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Finding the Third Proportional to 137,256,104 and 209,100,208

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Solution

The third proportional to 137,256,104 and 209,100,208 is: 318,549,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,256,104 : 209,100,208 = 209,100,208 : x
  2. Step 2: Convert to fraction form
    137,256,104/209,100,208 = 209,100,208/x
  3. Step 3: Cross multiply
    137,256,104x = 209,100,208 × 209,100,208
  4. Step 4: Simplify right side
    137,256,104x = 43,722,896,985,643,264
  5. Step 5: Solve for x
    x = 43,722,896,985,643,264/137,256,104
  6. Step 6: Final answer
    x = 318,549,745.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.