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Finding the Third Proportional to 85,817.81 and 186,892.03

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Solution

The third proportional to 85,817.81 and 186,892.03 is: 407,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,817.81 : 186,892.03 = 186,892.03 : x
  2. Step 2: Convert to fraction form
    85,817.81/186,892.03 = 186,892.03/x
  3. Step 3: Cross multiply
    85,817.81x = 186,892.03 × 186,892.03
  4. Step 4: Simplify right side
    85,817.81x = 34,928,631,344.75
  5. Step 5: Solve for x
    x = 34,928,631,344.75/85,817.81
  6. Step 6: Final answer
    x = 407,009.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.