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Finding the Third Proportional to 89,022.38 and 210,147.75

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Solution

The third proportional to 89,022.38 and 210,147.75 is: 496,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,022.38 : 210,147.75 = 210,147.75 : x
  2. Step 2: Convert to fraction form
    89,022.38/210,147.75 = 210,147.75/x
  3. Step 3: Cross multiply
    89,022.38x = 210,147.75 × 210,147.75
  4. Step 4: Simplify right side
    89,022.38x = 44,162,076,830.06
  5. Step 5: Solve for x
    x = 44,162,076,830.06/89,022.38
  6. Step 6: Final answer
    x = 496,078.39

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.