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Finding the Third Proportional to 99,077 and 213,946

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Solution

The third proportional to 99,077 and 213,946 is: 461,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,077 : 213,946 = 213,946 : x
  2. Step 2: Convert to fraction form
    99,077/213,946 = 213,946/x
  3. Step 3: Cross multiply
    99,077x = 213,946 × 213,946
  4. Step 4: Simplify right side
    99,077x = 45,772,890,916
  5. Step 5: Solve for x
    x = 45,772,890,916/99,077
  6. Step 6: Final answer
    x = 461,993.11

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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.