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Finding the Third Proportional to 101,400,028 and 218,964,152

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Solution

The third proportional to 101,400,028 and 218,964,152 is: 472,833,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,400,028 : 218,964,152 = 218,964,152 : x
  2. Step 2: Convert to fraction form
    101,400,028/218,964,152 = 218,964,152/x
  3. Step 3: Cross multiply
    101,400,028x = 218,964,152 × 218,964,152
  4. Step 4: Simplify right side
    101,400,028x = 47,945,299,861,079,104
  5. Step 5: Solve for x
    x = 47,945,299,861,079,104/101,400,028
  6. Step 6: Final answer
    x = 472,833,201.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.