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Finding the Third Proportional to 48,515,954 and 105,217,782

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Solution

The third proportional to 48,515,954 and 105,217,782 is: 228,188,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,515,954 : 105,217,782 = 105,217,782 : x
  2. Step 2: Convert to fraction form
    48,515,954/105,217,782 = 105,217,782/x
  3. Step 3: Cross multiply
    48,515,954x = 105,217,782 × 105,217,782
  4. Step 4: Simplify right side
    48,515,954x = 11,070,781,648,999,524
  5. Step 5: Solve for x
    x = 11,070,781,648,999,524/48,515,954
  6. Step 6: Final answer
    x = 228,188,476.91

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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.