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Finding the Third Proportional to 46,270,942 and 100,507,096

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Solution

The third proportional to 46,270,942 and 100,507,096 is: 218,315,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,270,942 : 100,507,096 = 100,507,096 : x
  2. Step 2: Convert to fraction form
    46,270,942/100,507,096 = 100,507,096/x
  3. Step 3: Cross multiply
    46,270,942x = 100,507,096 × 100,507,096
  4. Step 4: Simplify right side
    46,270,942x = 10,101,676,346,353,216
  5. Step 5: Solve for x
    x = 10,101,676,346,353,216/46,270,942
  6. Step 6: Final answer
    x = 218,315,770.32

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Why These Related Problems?

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