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Finding the Third Proportional to 250,686,569,399.50 and 550,621,190,697.50

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Solution

The third proportional to 250,686,569,399.50 and 550,621,190,697.50 is: 1,209,413,397,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,686,569,399.50 : 550,621,190,697.50 = 550,621,190,697.50 : x
  2. Step 2: Convert to fraction form
    250,686,569,399.50/550,621,190,697.50 = 550,621,190,697.50/x
  3. Step 3: Cross multiply
    250,686,569,399.50x = 550,621,190,697.50 × 550,621,190,697.50
  4. Step 4: Simplify right side
    250,686,569,399.50x = 303,183,695,645,132,629,999,616
  5. Step 5: Solve for x
    x = 303,183,695,645,132,629,999,616/250,686,569,399.50
  6. Step 6: Final answer
    x = 1,209,413,397,659.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.