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Finding the Third Proportional to 188,483,870,187 and 264,480,181,884

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Solution

The third proportional to 188,483,870,187 and 264,480,181,884 is: 371,118,051,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,483,870,187 : 264,480,181,884 = 264,480,181,884 : x
  2. Step 2: Convert to fraction form
    188,483,870,187/264,480,181,884 = 264,480,181,884/x
  3. Step 3: Cross multiply
    188,483,870,187x = 264,480,181,884 × 264,480,181,884
  4. Step 4: Simplify right side
    188,483,870,187x = 69,949,766,609,393,720,229,888
  5. Step 5: Solve for x
    x = 69,949,766,609,393,720,229,888/188,483,870,187
  6. Step 6: Final answer
    x = 371,118,051,321.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.