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Finding the Third Proportional to 51,495,848 and 107,224,656

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Solution

The third proportional to 51,495,848 and 107,224,656 is: 223,263,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495,848 : 107,224,656 = 107,224,656 : x
  2. Step 2: Convert to fraction form
    51,495,848/107,224,656 = 107,224,656/x
  3. Step 3: Cross multiply
    51,495,848x = 107,224,656 × 107,224,656
  4. Step 4: Simplify right side
    51,495,848x = 11,497,126,854,318,336
  5. Step 5: Solve for x
    x = 11,497,126,854,318,336/51,495,848
  6. Step 6: Final answer
    x = 223,263,181.42

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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.