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Finding the Third Proportional to 82,005.19 and 133,908.19

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Solution

The third proportional to 82,005.19 and 133,908.19 is: 218,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,005.19 : 133,908.19 = 133,908.19 : x
  2. Step 2: Convert to fraction form
    82,005.19/133,908.19 = 133,908.19/x
  3. Step 3: Cross multiply
    82,005.19x = 133,908.19 × 133,908.19
  4. Step 4: Simplify right side
    82,005.19x = 17,931,402,679.54
  5. Step 5: Solve for x
    x = 17,931,402,679.54/82,005.19
  6. Step 6: Final answer
    x = 218,661.81

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.