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Finding the Third Proportional to 48,126,736 and 103,924,144

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Solution

The third proportional to 48,126,736 and 103,924,144 is: 224,412,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,126,736 : 103,924,144 = 103,924,144 : x
  2. Step 2: Convert to fraction form
    48,126,736/103,924,144 = 103,924,144/x
  3. Step 3: Cross multiply
    48,126,736x = 103,924,144 × 103,924,144
  4. Step 4: Simplify right side
    48,126,736x = 10,800,227,706,132,736
  5. Step 5: Solve for x
    x = 10,800,227,706,132,736/48,126,736
  6. Step 6: Final answer
    x = 224,412,220.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.