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Finding the Third Proportional to 125,725,859,716 and 188,542,609,638

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Solution

The third proportional to 125,725,859,716 and 188,542,609,638 is: 282,744,661,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,725,859,716 : 188,542,609,638 = 188,542,609,638 : x
  2. Step 2: Convert to fraction form
    125,725,859,716/188,542,609,638 = 188,542,609,638/x
  3. Step 3: Cross multiply
    125,725,859,716x = 188,542,609,638 × 188,542,609,638
  4. Step 4: Simplify right side
    125,725,859,716x = 35,548,315,649,107,250,118,656
  5. Step 5: Solve for x
    x = 35,548,315,649,107,250,118,656/125,725,859,716
  6. Step 6: Final answer
    x = 282,744,661,515.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.