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Finding the Third Proportional to 79,977.80 and 185,151.87

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Solution

The third proportional to 79,977.80 and 185,151.87 is: 428,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,977.80 : 185,151.87 = 185,151.87 : x
  2. Step 2: Convert to fraction form
    79,977.80/185,151.87 = 185,151.87/x
  3. Step 3: Cross multiply
    79,977.80x = 185,151.87 × 185,151.87
  4. Step 4: Simplify right side
    79,977.80x = 34,281,213,923.02
  5. Step 5: Solve for x
    x = 34,281,213,923.02/79,977.80
  6. Step 6: Final answer
    x = 428,634.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.