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Finding the Third Proportional to 99,033 and 213,847

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Solution

The third proportional to 99,033 and 213,847 is: 461,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,033 : 213,847 = 213,847 : x
  2. Step 2: Convert to fraction form
    99,033/213,847 = 213,847/x
  3. Step 3: Cross multiply
    99,033x = 213,847 × 213,847
  4. Step 4: Simplify right side
    99,033x = 45,730,539,409
  5. Step 5: Solve for x
    x = 45,730,539,409/99,033
  6. Step 6: Final answer
    x = 461,770.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.