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Finding the Third Proportional to 92,664 and 200,880

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Solution

The third proportional to 92,664 and 200,880 is: 435,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,664 : 200,880 = 200,880 : x
  2. Step 2: Convert to fraction form
    92,664/200,880 = 200,880/x
  3. Step 3: Cross multiply
    92,664x = 200,880 × 200,880
  4. Step 4: Simplify right side
    92,664x = 40,352,774,400
  5. Step 5: Solve for x
    x = 40,352,774,400/92,664
  6. Step 6: Final answer
    x = 435,474.13

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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.