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Finding the Third Proportional to 85,414.31 and 186,917.81

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Solution

The third proportional to 85,414.31 and 186,917.81 is: 409,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.31 : 186,917.81 = 186,917.81 : x
  2. Step 2: Convert to fraction form
    85,414.31/186,917.81 = 186,917.81/x
  3. Step 3: Cross multiply
    85,414.31x = 186,917.81 × 186,917.81
  4. Step 4: Simplify right side
    85,414.31x = 34,938,268,629.79
  5. Step 5: Solve for x
    x = 34,938,268,629.79/85,414.31
  6. Step 6: Final answer
    x = 409,044.66

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Why These Related Problems?

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