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Finding the Third Proportional to 96,454.50 and 209,007

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Solution

The third proportional to 96,454.50 and 209,007 is: 452,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,454.50 : 209,007 = 209,007 : x
  2. Step 2: Convert to fraction form
    96,454.50/209,007 = 209,007/x
  3. Step 3: Cross multiply
    96,454.50x = 209,007 × 209,007
  4. Step 4: Simplify right side
    96,454.50x = 43,683,926,049
  5. Step 5: Solve for x
    x = 43,683,926,049/96,454.50
  6. Step 6: Final answer
    x = 452,896.71

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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.