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Finding the Third Proportional to 96,106.50 and 206,421

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Solution

The third proportional to 96,106.50 and 206,421 is: 443,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,106.50 : 206,421 = 206,421 : x
  2. Step 2: Convert to fraction form
    96,106.50/206,421 = 206,421/x
  3. Step 3: Cross multiply
    96,106.50x = 206,421 × 206,421
  4. Step 4: Simplify right side
    96,106.50x = 42,609,629,241
  5. Step 5: Solve for x
    x = 42,609,629,241/96,106.50
  6. Step 6: Final answer
    x = 443,358.45

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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.