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Finding the Third Proportional to 103,654,296 and 222,390,144

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Solution

The third proportional to 103,654,296 and 222,390,144 is: 477,137,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654,296 : 222,390,144 = 222,390,144 : x
  2. Step 2: Convert to fraction form
    103,654,296/222,390,144 = 222,390,144/x
  3. Step 3: Cross multiply
    103,654,296x = 222,390,144 × 222,390,144
  4. Step 4: Simplify right side
    103,654,296x = 49,457,376,148,340,736
  5. Step 5: Solve for x
    x = 49,457,376,148,340,736/103,654,296
  6. Step 6: Final answer
    x = 477,137,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.