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Finding the Third Proportional to 82,310,268 and 175,552,296

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Solution

The third proportional to 82,310,268 and 175,552,296 is: 374,419,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,310,268 : 175,552,296 = 175,552,296 : x
  2. Step 2: Convert to fraction form
    82,310,268/175,552,296 = 175,552,296/x
  3. Step 3: Cross multiply
    82,310,268x = 175,552,296 × 175,552,296
  4. Step 4: Simplify right side
    82,310,268x = 30,818,608,630,871,616
  5. Step 5: Solve for x
    x = 30,818,608,630,871,616/82,310,268
  6. Step 6: Final answer
    x = 374,419,976.75

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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.