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Finding the Third Proportional to 88,905 and 193,787.25

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Solution

The third proportional to 88,905 and 193,787.25 is: 422,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,905 : 193,787.25 = 193,787.25 : x
  2. Step 2: Convert to fraction form
    88,905/193,787.25 = 193,787.25/x
  3. Step 3: Cross multiply
    88,905x = 193,787.25 × 193,787.25
  4. Step 4: Simplify right side
    88,905x = 37,553,498,262.56
  5. Step 5: Solve for x
    x = 37,553,498,262.56/88,905
  6. Step 6: Final answer
    x = 422,400.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.