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Finding the Third Proportional to 175,049,828 and 380,923,720

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Solution

The third proportional to 175,049,828 and 380,923,720 is: 828,923,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,049,828 : 380,923,720 = 380,923,720 : x
  2. Step 2: Convert to fraction form
    175,049,828/380,923,720 = 380,923,720/x
  3. Step 3: Cross multiply
    175,049,828x = 380,923,720 × 380,923,720
  4. Step 4: Simplify right side
    175,049,828x = 145,102,880,458,638,400
  5. Step 5: Solve for x
    x = 145,102,880,458,638,400/175,049,828
  6. Step 6: Final answer
    x = 828,923,296.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.