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Finding the Third Proportional to 88,480 and 194,456

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Solution

The third proportional to 88,480 and 194,456 is: 427,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,480 : 194,456 = 194,456 : x
  2. Step 2: Convert to fraction form
    88,480/194,456 = 194,456/x
  3. Step 3: Cross multiply
    88,480x = 194,456 × 194,456
  4. Step 4: Simplify right side
    88,480x = 37,813,135,936
  5. Step 5: Solve for x
    x = 37,813,135,936/88,480
  6. Step 6: Final answer
    x = 427,363.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.