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Finding the Third Proportional to 102,143,840 and 226,962,208

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Solution

The third proportional to 102,143,840 and 226,962,208 is: 504,306,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143,840 : 226,962,208 = 226,962,208 : x
  2. Step 2: Convert to fraction form
    102,143,840/226,962,208 = 226,962,208/x
  3. Step 3: Cross multiply
    102,143,840x = 226,962,208 × 226,962,208
  4. Step 4: Simplify right side
    102,143,840x = 51,511,843,860,235,264
  5. Step 5: Solve for x
    x = 51,511,843,860,235,264/102,143,840
  6. Step 6: Final answer
    x = 504,306,905.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.