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Finding the Third Proportional to 89,897.25 and 193,805.25

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Solution

The third proportional to 89,897.25 and 193,805.25 is: 417,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,897.25 : 193,805.25 = 193,805.25 : x
  2. Step 2: Convert to fraction form
    89,897.25/193,805.25 = 193,805.25/x
  3. Step 3: Cross multiply
    89,897.25x = 193,805.25 × 193,805.25
  4. Step 4: Simplify right side
    89,897.25x = 37,560,474,927.56
  5. Step 5: Solve for x
    x = 37,560,474,927.56/89,897.25
  6. Step 6: Final answer
    x = 417,815.62

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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.