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Finding the Third Proportional to 175,675,716 and 381,593,025

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Solution

The third proportional to 175,675,716 and 381,593,025 is: 828,875,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,675,716 : 381,593,025 = 381,593,025 : x
  2. Step 2: Convert to fraction form
    175,675,716/381,593,025 = 381,593,025/x
  3. Step 3: Cross multiply
    175,675,716x = 381,593,025 × 381,593,025
  4. Step 4: Simplify right side
    175,675,716x = 145,613,236,728,650,624
  5. Step 5: Solve for x
    x = 145,613,236,728,650,624/175,675,716
  6. Step 6: Final answer
    x = 828,875,157.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.