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Finding the Third Proportional to 97,077 and 226,731.75

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Solution

The third proportional to 97,077 and 226,731.75 is: 529,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,077 : 226,731.75 = 226,731.75 : x
  2. Step 2: Convert to fraction form
    97,077/226,731.75 = 226,731.75/x
  3. Step 3: Cross multiply
    97,077x = 226,731.75 × 226,731.75
  4. Step 4: Simplify right side
    97,077x = 51,407,286,458.06
  5. Step 5: Solve for x
    x = 51,407,286,458.06/97,077
  6. Step 6: Final answer
    x = 529,551.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.