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Finding the Third Proportional to 91,397.25 and 211,568.63

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Solution

The third proportional to 91,397.25 and 211,568.63 is: 489,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,397.25 : 211,568.63 = 211,568.63 : x
  2. Step 2: Convert to fraction form
    91,397.25/211,568.63 = 211,568.63/x
  3. Step 3: Cross multiply
    91,397.25x = 211,568.63 × 211,568.63
  4. Step 4: Simplify right side
    91,397.25x = 44,761,283,084.39
  5. Step 5: Solve for x
    x = 44,761,283,084.39/91,397.25
  6. Step 6: Final answer
    x = 489,744.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.