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Finding the Third Proportional to 84,311.81 and 183,495.56

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Solution

The third proportional to 84,311.81 and 183,495.56 is: 399,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,311.81 : 183,495.56 = 183,495.56 : x
  2. Step 2: Convert to fraction form
    84,311.81/183,495.56 = 183,495.56/x
  3. Step 3: Cross multiply
    84,311.81x = 183,495.56 × 183,495.56
  4. Step 4: Simplify right side
    84,311.81x = 33,670,621,457.19
  5. Step 5: Solve for x
    x = 33,670,621,457.19/84,311.81
  6. Step 6: Final answer
    x = 399,358.29

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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.