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Finding the Third Proportional to 149,150,908 and 351,590,164

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Solution

The third proportional to 149,150,908 and 351,590,164 is: 828,795,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,150,908 : 351,590,164 = 351,590,164 : x
  2. Step 2: Convert to fraction form
    149,150,908/351,590,164 = 351,590,164/x
  3. Step 3: Cross multiply
    149,150,908x = 351,590,164 × 351,590,164
  4. Step 4: Simplify right side
    149,150,908x = 123,615,643,421,546,896
  5. Step 5: Solve for x
    x = 123,615,643,421,546,896/149,150,908
  6. Step 6: Final answer
    x = 828,795,781.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.