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Finding the Third Proportional to 103,311,084 and 224,781,777

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Solution

The third proportional to 103,311,084 and 224,781,777 is: 489,074,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,311,084 : 224,781,777 = 224,781,777 : x
  2. Step 2: Convert to fraction form
    103,311,084/224,781,777 = 224,781,777/x
  3. Step 3: Cross multiply
    103,311,084x = 224,781,777 × 224,781,777
  4. Step 4: Simplify right side
    103,311,084x = 50,526,847,271,277,728
  5. Step 5: Solve for x
    x = 50,526,847,271,277,728/103,311,084
  6. Step 6: Final answer
    x = 489,074,795.41

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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.