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Finding the Third Proportional to 38,398.36 and 84,177.81

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Solution

The third proportional to 38,398.36 and 84,177.81 is: 184,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,398.36 : 84,177.81 = 84,177.81 : x
  2. Step 2: Convert to fraction form
    38,398.36/84,177.81 = 84,177.81/x
  3. Step 3: Cross multiply
    38,398.36x = 84,177.81 × 84,177.81
  4. Step 4: Simplify right side
    38,398.36x = 7,085,903,459.65
  5. Step 5: Solve for x
    x = 7,085,903,459.65/38,398.36
  6. Step 6: Final answer
    x = 184,536.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.