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Finding the Third Proportional to 45,592.88 and 95,772.38

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Solution

The third proportional to 45,592.88 and 95,772.38 is: 201,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,592.88 : 95,772.38 = 95,772.38 : x
  2. Step 2: Convert to fraction form
    45,592.88/95,772.38 = 95,772.38/x
  3. Step 3: Cross multiply
    45,592.88x = 95,772.38 × 95,772.38
  4. Step 4: Simplify right side
    45,592.88x = 9,172,347,813.14
  5. Step 5: Solve for x
    x = 9,172,347,813.14/45,592.88
  6. Step 6: Final answer
    x = 201,179.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.