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Finding the Third Proportional to 87,765.19 and 179,683.31

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Solution

The third proportional to 87,765.19 and 179,683.31 is: 367,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,765.19 : 179,683.31 = 179,683.31 : x
  2. Step 2: Convert to fraction form
    87,765.19/179,683.31 = 179,683.31/x
  3. Step 3: Cross multiply
    87,765.19x = 179,683.31 × 179,683.31
  4. Step 4: Simplify right side
    87,765.19x = 32,286,092,790.97
  5. Step 5: Solve for x
    x = 32,286,092,790.97/87,765.19
  6. Step 6: Final answer
    x = 367,869.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.