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Finding the Third Proportional to 42,996.76 and 101,168.68

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Solution

The third proportional to 42,996.76 and 101,168.68 is: 238,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996.76 : 101,168.68 = 101,168.68 : x
  2. Step 2: Convert to fraction form
    42,996.76/101,168.68 = 101,168.68/x
  3. Step 3: Cross multiply
    42,996.76x = 101,168.68 × 101,168.68
  4. Step 4: Simplify right side
    42,996.76x = 10,235,102,540.09
  5. Step 5: Solve for x
    x = 10,235,102,540.09/42,996.76
  6. Step 6: Final answer
    x = 238,043.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.