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Finding the Third Proportional to 103,245,744 and 224,698,980

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Solution

The third proportional to 103,245,744 and 224,698,980 is: 489,023,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,245,744 : 224,698,980 = 224,698,980 : x
  2. Step 2: Convert to fraction form
    103,245,744/224,698,980 = 224,698,980/x
  3. Step 3: Cross multiply
    103,245,744x = 224,698,980 × 224,698,980
  4. Step 4: Simplify right side
    103,245,744x = 50,489,631,613,040,400
  5. Step 5: Solve for x
    x = 50,489,631,613,040,400/103,245,744
  6. Step 6: Final answer
    x = 489,023,853.74

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