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Finding the Third Proportional to 236,157,054.82 and 512,456,050.41

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Solution

The third proportional to 236,157,054.82 and 512,456,050.41 is: 1,112,019,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,157,054.82 : 512,456,050.41 = 512,456,050.41 : x
  2. Step 2: Convert to fraction form
    236,157,054.82/512,456,050.41 = 512,456,050.41/x
  3. Step 3: Cross multiply
    236,157,054.82x = 512,456,050.41 × 512,456,050.41
  4. Step 4: Simplify right side
    236,157,054.82x = 262,611,203,597,973,056
  5. Step 5: Solve for x
    x = 262,611,203,597,973,056/236,157,054.82
  6. Step 6: Final answer
    x = 1,112,019,303.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.