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Finding the Third Proportional to 103,245,696 and 224,698,884

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Solution

The third proportional to 103,245,696 and 224,698,884 is: 489,023,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,245,696 : 224,698,884 = 224,698,884 : x
  2. Step 2: Convert to fraction form
    103,245,696/224,698,884 = 224,698,884/x
  3. Step 3: Cross multiply
    103,245,696x = 224,698,884 × 224,698,884
  4. Step 4: Simplify right side
    103,245,696x = 50,489,588,470,845,456
  5. Step 5: Solve for x
    x = 50,489,588,470,845,456/103,245,696
  6. Step 6: Final answer
    x = 489,023,663.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.