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Finding the Third Proportional to 102,900,546,208 and 222,896,014,220

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Solution

The third proportional to 102,900,546,208 and 222,896,014,220 is: 482,821,860,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,900,546,208 : 222,896,014,220 = 222,896,014,220 : x
  2. Step 2: Convert to fraction form
    102,900,546,208/222,896,014,220 = 222,896,014,220/x
  3. Step 3: Cross multiply
    102,900,546,208x = 222,896,014,220 × 222,896,014,220
  4. Step 4: Simplify right side
    102,900,546,208x = 49,682,633,155,162,440,466,432
  5. Step 5: Solve for x
    x = 49,682,633,155,162,440,466,432/102,900,546,208
  6. Step 6: Final answer
    x = 482,821,860,388.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.