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Finding the Third Proportional to 96,099 and 206,409

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Solution

The third proportional to 96,099 and 206,409 is: 443,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,099 : 206,409 = 206,409 : x
  2. Step 2: Convert to fraction form
    96,099/206,409 = 206,409/x
  3. Step 3: Cross multiply
    96,099x = 206,409 × 206,409
  4. Step 4: Simplify right side
    96,099x = 42,604,675,281
  5. Step 5: Solve for x
    x = 42,604,675,281/96,099
  6. Step 6: Final answer
    x = 443,341.50

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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.