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Finding the Third Proportional to 200,036.25 and 436,021.31

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Solution

The third proportional to 200,036.25 and 436,021.31 is: 950,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,036.25 : 436,021.31 = 436,021.31 : x
  2. Step 2: Convert to fraction form
    200,036.25/436,021.31 = 436,021.31/x
  3. Step 3: Cross multiply
    200,036.25x = 436,021.31 × 436,021.31
  4. Step 4: Simplify right side
    200,036.25x = 190,114,584,954.22
  5. Step 5: Solve for x
    x = 190,114,584,954.22/200,036.25
  6. Step 6: Final answer
    x = 950,400.66

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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.