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Finding the Third Proportional to 96,082.77 and 140,420.78

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Solution

The third proportional to 96,082.77 and 140,420.78 is: 205,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,082.77 : 140,420.78 = 140,420.78 : x
  2. Step 2: Convert to fraction form
    96,082.77/140,420.78 = 140,420.78/x
  3. Step 3: Cross multiply
    96,082.77x = 140,420.78 × 140,420.78
  4. Step 4: Simplify right side
    96,082.77x = 19,717,994,709.82
  5. Step 5: Solve for x
    x = 19,717,994,709.82/96,082.77
  6. Step 6: Final answer
    x = 205,218.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.