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Finding the Third Proportional to 84,882.94 and 185,316.21

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Solution

The third proportional to 84,882.94 and 185,316.21 is: 404,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,882.94 : 185,316.21 = 185,316.21 : x
  2. Step 2: Convert to fraction form
    84,882.94/185,316.21 = 185,316.21/x
  3. Step 3: Cross multiply
    84,882.94x = 185,316.21 × 185,316.21
  4. Step 4: Simplify right side
    84,882.94x = 34,342,099,122.07
  5. Step 5: Solve for x
    x = 34,342,099,122.07/84,882.94
  6. Step 6: Final answer
    x = 404,581.89

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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.