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Finding the Third Proportional to 104,763.38 and 219,793.50

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Solution

The third proportional to 104,763.38 and 219,793.50 is: 461,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,763.38 : 219,793.50 = 219,793.50 : x
  2. Step 2: Convert to fraction form
    104,763.38/219,793.50 = 219,793.50/x
  3. Step 3: Cross multiply
    104,763.38x = 219,793.50 × 219,793.50
  4. Step 4: Simplify right side
    104,763.38x = 48,309,182,642.25
  5. Step 5: Solve for x
    x = 48,309,182,642.25/104,763.38
  6. Step 6: Final answer
    x = 461,126.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.