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Finding the Third Proportional to 186,362,197.88 and 405,449,018.44

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Solution

The third proportional to 186,362,197.88 and 405,449,018.44 is: 882,093,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,362,197.88 : 405,449,018.44 = 405,449,018.44 : x
  2. Step 2: Convert to fraction form
    186,362,197.88/405,449,018.44 = 405,449,018.44/x
  3. Step 3: Cross multiply
    186,362,197.88x = 405,449,018.44 × 405,449,018.44
  4. Step 4: Simplify right side
    186,362,197.88x = 164,388,906,551,932,224
  5. Step 5: Solve for x
    x = 164,388,906,551,932,224/186,362,197.88
  6. Step 6: Final answer
    x = 882,093,624.28

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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.