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Finding the Third Proportional to 82,419,120 and 162,763,884

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Solution

The third proportional to 82,419,120 and 162,763,884 is: 321,431,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419,120 : 162,763,884 = 162,763,884 : x
  2. Step 2: Convert to fraction form
    82,419,120/162,763,884 = 162,763,884/x
  3. Step 3: Cross multiply
    82,419,120x = 162,763,884 × 162,763,884
  4. Step 4: Simplify right side
    82,419,120x = 26,492,081,934,765,456
  5. Step 5: Solve for x
    x = 26,492,081,934,765,456/82,419,120
  6. Step 6: Final answer
    x = 321,431,264.19

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.