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Finding the Third Proportional to 214,462,093.50 and 331,398,621

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Solution

The third proportional to 214,462,093.50 and 331,398,621 is: 512,095,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,462,093.50 : 331,398,621 = 331,398,621 : x
  2. Step 2: Convert to fraction form
    214,462,093.50/331,398,621 = 331,398,621/x
  3. Step 3: Cross multiply
    214,462,093.50x = 331,398,621 × 331,398,621
  4. Step 4: Simplify right side
    214,462,093.50x = 109,825,046,000,701,648
  5. Step 5: Solve for x
    x = 109,825,046,000,701,648/214,462,093.50
  6. Step 6: Final answer
    x = 512,095,374.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.