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Finding the Third Proportional to 96,823.69 and 209,733.47

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Solution

The third proportional to 96,823.69 and 209,733.47 is: 454,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,823.69 : 209,733.47 = 209,733.47 : x
  2. Step 2: Convert to fraction form
    96,823.69/209,733.47 = 209,733.47/x
  3. Step 3: Cross multiply
    96,823.69x = 209,733.47 × 209,733.47
  4. Step 4: Simplify right side
    96,823.69x = 43,988,127,913.91
  5. Step 5: Solve for x
    x = 43,988,127,913.91/96,823.69
  6. Step 6: Final answer
    x = 454,311.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.