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Finding the Third Proportional to 38,187.07 and 83,896.22

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Solution

The third proportional to 38,187.07 and 83,896.22 is: 184,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,187.07 : 83,896.22 = 83,896.22 : x
  2. Step 2: Convert to fraction form
    38,187.07/83,896.22 = 83,896.22/x
  3. Step 3: Cross multiply
    38,187.07x = 83,896.22 × 83,896.22
  4. Step 4: Simplify right side
    38,187.07x = 7,038,576,503.71
  5. Step 5: Solve for x
    x = 7,038,576,503.71/38,187.07
  6. Step 6: Final answer
    x = 184,318.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.