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Finding the Third Proportional to 194,916.38 and 427,057.31

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Solution

The third proportional to 194,916.38 and 427,057.31 is: 935,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,916.38 : 427,057.31 = 427,057.31 : x
  2. Step 2: Convert to fraction form
    194,916.38/427,057.31 = 427,057.31/x
  3. Step 3: Cross multiply
    194,916.38x = 427,057.31 × 427,057.31
  4. Step 4: Simplify right side
    194,916.38x = 182,377,948,159.72
  5. Step 5: Solve for x
    x = 182,377,948,159.72/194,916.38
  6. Step 6: Final answer
    x = 935,672.79

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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.