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Finding the Third Proportional to 103,245,746 and 224,698,984

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Solution

The third proportional to 103,245,746 and 224,698,984 is: 489,023,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,245,746 : 224,698,984 = 224,698,984 : x
  2. Step 2: Convert to fraction form
    103,245,746/224,698,984 = 224,698,984/x
  3. Step 3: Cross multiply
    103,245,746x = 224,698,984 × 224,698,984
  4. Step 4: Simplify right side
    103,245,746x = 50,489,633,410,632,256
  5. Step 5: Solve for x
    x = 50,489,633,410,632,256/103,245,746
  6. Step 6: Final answer
    x = 489,023,861.68

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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.