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Finding the Third Proportional to 41,783.50 and 89,399

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Solution

The third proportional to 41,783.50 and 89,399 is: 191,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,783.50 : 89,399 = 89,399 : x
  2. Step 2: Convert to fraction form
    41,783.50/89,399 = 89,399/x
  3. Step 3: Cross multiply
    41,783.50x = 89,399 × 89,399
  4. Step 4: Simplify right side
    41,783.50x = 7,992,181,201
  5. Step 5: Solve for x
    x = 7,992,181,201/41,783.50
  6. Step 6: Final answer
    x = 191,276.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.