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Finding the Third Proportional to 79,177.50 and 186,829.03

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Solution

The third proportional to 79,177.50 and 186,829.03 is: 440,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,177.50 : 186,829.03 = 186,829.03 : x
  2. Step 2: Convert to fraction form
    79,177.50/186,829.03 = 186,829.03/x
  3. Step 3: Cross multiply
    79,177.50x = 186,829.03 × 186,829.03
  4. Step 4: Simplify right side
    79,177.50x = 34,905,086,917.81
  5. Step 5: Solve for x
    x = 34,905,086,917.81/79,177.50
  6. Step 6: Final answer
    x = 440,846.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.