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Finding the Third Proportional to 42,202.27 and 92,708.30

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Solution

The third proportional to 42,202.27 and 92,708.30 is: 203,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,202.27 : 92,708.30 = 92,708.30 : x
  2. Step 2: Convert to fraction form
    42,202.27/92,708.30 = 92,708.30/x
  3. Step 3: Cross multiply
    42,202.27x = 92,708.30 × 92,708.30
  4. Step 4: Simplify right side
    42,202.27x = 8,594,828,309.46
  5. Step 5: Solve for x
    x = 8,594,828,309.46/42,202.27
  6. Step 6: Final answer
    x = 203,657.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.