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Finding the Third Proportional to 103,314,876 and 224,789,504.25

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Solution

The third proportional to 103,314,876 and 224,789,504.25 is: 489,090,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314,876 : 224,789,504.25 = 224,789,504.25 : x
  2. Step 2: Convert to fraction form
    103,314,876/224,789,504.25 = 224,789,504.25/x
  3. Step 3: Cross multiply
    103,314,876x = 224,789,504.25 × 224,789,504.25
  4. Step 4: Simplify right side
    103,314,876x = 50,530,321,220,960,768
  5. Step 5: Solve for x
    x = 50,530,321,220,960,768/103,314,876
  6. Step 6: Final answer
    x = 489,090,469.61

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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.