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Finding the Third Proportional to 89,652.50 and 211,331.50

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Solution

The third proportional to 89,652.50 and 211,331.50 is: 498,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,652.50 : 211,331.50 = 211,331.50 : x
  2. Step 2: Convert to fraction form
    89,652.50/211,331.50 = 211,331.50/x
  3. Step 3: Cross multiply
    89,652.50x = 211,331.50 × 211,331.50
  4. Step 4: Simplify right side
    89,652.50x = 44,661,002,892.25
  5. Step 5: Solve for x
    x = 44,661,002,892.25/89,652.50
  6. Step 6: Final answer
    x = 498,156.80

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Why These Related Problems?

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