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Finding the Third Proportional to 124,299,770 and 188,175,975

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Solution

The third proportional to 124,299,770 and 188,175,975 is: 284,877,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,299,770 : 188,175,975 = 188,175,975 : x
  2. Step 2: Convert to fraction form
    124,299,770/188,175,975 = 188,175,975/x
  3. Step 3: Cross multiply
    124,299,770x = 188,175,975 × 188,175,975
  4. Step 4: Simplify right side
    124,299,770x = 35,410,197,567,200,624
  5. Step 5: Solve for x
    x = 35,410,197,567,200,624/124,299,770
  6. Step 6: Final answer
    x = 284,877,418.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.