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Finding the Third Proportional to 85,414.88 and 186,918.75

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Solution

The third proportional to 85,414.88 and 186,918.75 is: 409,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.88 : 186,918.75 = 186,918.75 : x
  2. Step 2: Convert to fraction form
    85,414.88/186,918.75 = 186,918.75/x
  3. Step 3: Cross multiply
    85,414.88x = 186,918.75 × 186,918.75
  4. Step 4: Simplify right side
    85,414.88x = 34,938,619,101.56
  5. Step 5: Solve for x
    x = 34,938,619,101.56/85,414.88
  6. Step 6: Final answer
    x = 409,046.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.