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Finding the Third Proportional to 96,567.19 and 209,212.88

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Solution

The third proportional to 96,567.19 and 209,212.88 is: 453,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,567.19 : 209,212.88 = 209,212.88 : x
  2. Step 2: Convert to fraction form
    96,567.19/209,212.88 = 209,212.88/x
  3. Step 3: Cross multiply
    96,567.19x = 209,212.88 × 209,212.88
  4. Step 4: Simplify right side
    96,567.19x = 43,770,027,065.77
  5. Step 5: Solve for x
    x = 43,770,027,065.77/96,567.19
  6. Step 6: Final answer
    x = 453,259.83

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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.