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Finding the Third Proportional to 82,882.13 and 180,946.13

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Solution

The third proportional to 82,882.13 and 180,946.13 is: 395,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,882.13 : 180,946.13 = 180,946.13 : x
  2. Step 2: Convert to fraction form
    82,882.13/180,946.13 = 180,946.13/x
  3. Step 3: Cross multiply
    82,882.13x = 180,946.13 × 180,946.13
  4. Step 4: Simplify right side
    82,882.13x = 32,741,500,152.52
  5. Step 5: Solve for x
    x = 32,741,500,152.52/82,882.13
  6. Step 6: Final answer
    x = 395,036.93

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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.