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Finding the Third Proportional to 88,883.38 and 194,394.75

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Solution

The third proportional to 88,883.38 and 194,394.75 is: 425,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,883.38 : 194,394.75 = 194,394.75 : x
  2. Step 2: Convert to fraction form
    88,883.38/194,394.75 = 194,394.75/x
  3. Step 3: Cross multiply
    88,883.38x = 194,394.75 × 194,394.75
  4. Step 4: Simplify right side
    88,883.38x = 37,789,318,827.56
  5. Step 5: Solve for x
    x = 37,789,318,827.56/88,883.38
  6. Step 6: Final answer
    x = 425,156.21

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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.