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Finding the Third Proportional to 80,082,442 and 174,844,025

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Solution

The third proportional to 80,082,442 and 174,844,025 is: 381,737,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,082,442 : 174,844,025 = 174,844,025 : x
  2. Step 2: Convert to fraction form
    80,082,442/174,844,025 = 174,844,025/x
  3. Step 3: Cross multiply
    80,082,442x = 174,844,025 × 174,844,025
  4. Step 4: Simplify right side
    80,082,442x = 30,570,433,078,200,624
  5. Step 5: Solve for x
    x = 30,570,433,078,200,624/80,082,442
  6. Step 6: Final answer
    x = 381,737,023.93

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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.