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Finding the Third Proportional to 96,135 and 206,490

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Solution

The third proportional to 96,135 and 206,490 is: 443,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,135 : 206,490 = 206,490 : x
  2. Step 2: Convert to fraction form
    96,135/206,490 = 206,490/x
  3. Step 3: Cross multiply
    96,135x = 206,490 × 206,490
  4. Step 4: Simplify right side
    96,135x = 42,638,120,100
  5. Step 5: Solve for x
    x = 42,638,120,100/96,135
  6. Step 6: Final answer
    x = 443,523.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.