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Finding the Third Proportional to 84,239.16 and 183,239.72

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Solution

The third proportional to 84,239.16 and 183,239.72 is: 398,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,239.16 : 183,239.72 = 183,239.72 : x
  2. Step 2: Convert to fraction form
    84,239.16/183,239.72 = 183,239.72/x
  3. Step 3: Cross multiply
    84,239.16x = 183,239.72 × 183,239.72
  4. Step 4: Simplify right side
    84,239.16x = 33,576,794,527.58
  5. Step 5: Solve for x
    x = 33,576,794,527.58/84,239.16
  6. Step 6: Final answer
    x = 398,588.92

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