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Finding the Third Proportional to 43,027.88 and 92,282.63

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Solution

The third proportional to 43,027.88 and 92,282.63 is: 197,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,027.88 : 92,282.63 = 92,282.63 : x
  2. Step 2: Convert to fraction form
    43,027.88/92,282.63 = 92,282.63/x
  3. Step 3: Cross multiply
    43,027.88x = 92,282.63 × 92,282.63
  4. Step 4: Simplify right side
    43,027.88x = 8,516,082,876.89
  5. Step 5: Solve for x
    x = 8,516,082,876.89/43,027.88
  6. Step 6: Final answer
    x = 197,920.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.