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Finding the Third Proportional to 96,865.88 and 209,293.88

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Solution

The third proportional to 96,865.88 and 209,293.88 is: 452,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,865.88 : 209,293.88 = 209,293.88 : x
  2. Step 2: Convert to fraction form
    96,865.88/209,293.88 = 209,293.88/x
  3. Step 3: Cross multiply
    96,865.88x = 209,293.88 × 209,293.88
  4. Step 4: Simplify right side
    96,865.88x = 43,803,926,112.52
  5. Step 5: Solve for x
    x = 43,803,926,112.52/96,865.88
  6. Step 6: Final answer
    x = 452,212.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.