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Finding the Third Proportional to 99,809.25 and 215,609.25

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Solution

The third proportional to 99,809.25 and 215,609.25 is: 465,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.25 : 215,609.25 = 215,609.25 : x
  2. Step 2: Convert to fraction form
    99,809.25/215,609.25 = 215,609.25/x
  3. Step 3: Cross multiply
    99,809.25x = 215,609.25 × 215,609.25
  4. Step 4: Simplify right side
    99,809.25x = 46,487,348,685.56
  5. Step 5: Solve for x
    x = 46,487,348,685.56/99,809.25
  6. Step 6: Final answer
    x = 465,761.93

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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.