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Finding the Third Proportional to 43,887,290,078 and 96,159,131,374

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Solution

The third proportional to 43,887,290,078 and 96,159,131,374 is: 210,689,211,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,887,290,078 : 96,159,131,374 = 96,159,131,374 : x
  2. Step 2: Convert to fraction form
    43,887,290,078/96,159,131,374 = 96,159,131,374/x
  3. Step 3: Cross multiply
    43,887,290,078x = 96,159,131,374 × 96,159,131,374
  4. Step 4: Simplify right side
    43,887,290,078x = 9,246,578,546,602,190,831,616
  5. Step 5: Solve for x
    x = 9,246,578,546,602,190,831,616/43,887,290,078
  6. Step 6: Final answer
    x = 210,689,211,618.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.