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Finding the Third Proportional to 43,140.66 and 92,278.69

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Solution

The third proportional to 43,140.66 and 92,278.69 is: 197,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,140.66 : 92,278.69 = 92,278.69 : x
  2. Step 2: Convert to fraction form
    43,140.66/92,278.69 = 92,278.69/x
  3. Step 3: Cross multiply
    43,140.66x = 92,278.69 × 92,278.69
  4. Step 4: Simplify right side
    43,140.66x = 8,515,356,166.72
  5. Step 5: Solve for x
    x = 8,515,356,166.72/43,140.66
  6. Step 6: Final answer
    x = 197,385.87

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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.