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Finding the Third Proportional to 51,495,846.50 and 107,224,653

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Solution

The third proportional to 51,495,846.50 and 107,224,653 is: 223,263,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495,846.50 : 107,224,653 = 107,224,653 : x
  2. Step 2: Convert to fraction form
    51,495,846.50/107,224,653 = 107,224,653/x
  3. Step 3: Cross multiply
    51,495,846.50x = 107,224,653 × 107,224,653
  4. Step 4: Simplify right side
    51,495,846.50x = 11,497,126,210,970,408
  5. Step 5: Solve for x
    x = 11,497,126,210,970,408/51,495,846.50
  6. Step 6: Final answer
    x = 223,263,175.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.