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Finding the Third Proportional to 137,175,660 and 295,888,824

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Solution

The third proportional to 137,175,660 and 295,888,824 is: 638,234,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,175,660 : 295,888,824 = 295,888,824 : x
  2. Step 2: Convert to fraction form
    137,175,660/295,888,824 = 295,888,824/x
  3. Step 3: Cross multiply
    137,175,660x = 295,888,824 × 295,888,824
  4. Step 4: Simplify right side
    137,175,660x = 87,550,196,168,102,976
  5. Step 5: Solve for x
    x = 87,550,196,168,102,976/137,175,660
  6. Step 6: Final answer
    x = 638,234,189.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.