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Finding the Third Proportional to 100,147,212 and 213,521,832

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Solution

The third proportional to 100,147,212 and 213,521,832 is: 455,245,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147,212 : 213,521,832 = 213,521,832 : x
  2. Step 2: Convert to fraction form
    100,147,212/213,521,832 = 213,521,832/x
  3. Step 3: Cross multiply
    100,147,212x = 213,521,832 × 213,521,832
  4. Step 4: Simplify right side
    100,147,212x = 45,591,572,740,636,224
  5. Step 5: Solve for x
    x = 45,591,572,740,636,224/100,147,212
  6. Step 6: Final answer
    x = 455,245,551.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.