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Finding the Third Proportional to 101,290,968 and 217,938,366

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Solution

The third proportional to 101,290,968 and 217,938,366 is: 468,917,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,290,968 : 217,938,366 = 217,938,366 : x
  2. Step 2: Convert to fraction form
    101,290,968/217,938,366 = 217,938,366/x
  3. Step 3: Cross multiply
    101,290,968x = 217,938,366 × 217,938,366
  4. Step 4: Simplify right side
    101,290,968x = 47,497,131,374,749,952
  5. Step 5: Solve for x
    x = 47,497,131,374,749,952/101,290,968
  6. Step 6: Final answer
    x = 468,917,735.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.