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Finding the Third Proportional to 150,889,548,727 and 306,212,909,717

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Solution

The third proportional to 150,889,548,727 and 306,212,909,717 is: 621,423,729,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,889,548,727 : 306,212,909,717 = 306,212,909,717 : x
  2. Step 2: Convert to fraction form
    150,889,548,727/306,212,909,717 = 306,212,909,717/x
  3. Step 3: Cross multiply
    150,889,548,727x = 306,212,909,717 × 306,212,909,717
  4. Step 4: Simplify right side
    150,889,548,727x = 93,766,346,077,351,595,474,944
  5. Step 5: Solve for x
    x = 93,766,346,077,351,595,474,944/150,889,548,727
  6. Step 6: Final answer
    x = 621,423,729,267.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.