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Finding the Third Proportional to 94,782 and 200,436

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Solution

The third proportional to 94,782 and 200,436 is: 423,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,782 : 200,436 = 200,436 : x
  2. Step 2: Convert to fraction form
    94,782/200,436 = 200,436/x
  3. Step 3: Cross multiply
    94,782x = 200,436 × 200,436
  4. Step 4: Simplify right side
    94,782x = 40,174,590,096
  5. Step 5: Solve for x
    x = 40,174,590,096/94,782
  6. Step 6: Final answer
    x = 423,863.08

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.