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Finding the Third Proportional to 42,008.63 and 92,370.38

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Solution

The third proportional to 42,008.63 and 92,370.38 is: 203,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,008.63 : 92,370.38 = 92,370.38 : x
  2. Step 2: Convert to fraction form
    42,008.63/92,370.38 = 92,370.38/x
  3. Step 3: Cross multiply
    42,008.63x = 92,370.38 × 92,370.38
  4. Step 4: Simplify right side
    42,008.63x = 8,532,286,177.64
  5. Step 5: Solve for x
    x = 8,532,286,177.64/42,008.63
  6. Step 6: Final answer
    x = 203,107.96

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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.