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Finding the Third Proportional to 101,400,984 and 218,966,112

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Solution

The third proportional to 101,400,984 and 218,966,112 is: 472,837,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,400,984 : 218,966,112 = 218,966,112 : x
  2. Step 2: Convert to fraction form
    101,400,984/218,966,112 = 218,966,112/x
  3. Step 3: Cross multiply
    101,400,984x = 218,966,112 × 218,966,112
  4. Step 4: Simplify right side
    101,400,984x = 47,946,158,204,396,544
  5. Step 5: Solve for x
    x = 47,946,158,204,396,544/101,400,984
  6. Step 6: Final answer
    x = 472,837,208.41

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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.