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Finding the Third Proportional to 88,912 and 193,087

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Solution

The third proportional to 88,912 and 193,087 is: 419,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,912 : 193,087 = 193,087 : x
  2. Step 2: Convert to fraction form
    88,912/193,087 = 193,087/x
  3. Step 3: Cross multiply
    88,912x = 193,087 × 193,087
  4. Step 4: Simplify right side
    88,912x = 37,282,589,569
  5. Step 5: Solve for x
    x = 37,282,589,569/88,912
  6. Step 6: Final answer
    x = 419,320.11

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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.