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Finding the Third Proportional to 83,311.03 and 162,465.91

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Solution

The third proportional to 83,311.03 and 162,465.91 is: 316,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.03 : 162,465.91 = 162,465.91 : x
  2. Step 2: Convert to fraction form
    83,311.03/162,465.91 = 162,465.91/x
  3. Step 3: Cross multiply
    83,311.03x = 162,465.91 × 162,465.91
  4. Step 4: Simplify right side
    83,311.03x = 26,395,171,328.26
  5. Step 5: Solve for x
    x = 26,395,171,328.26/83,311.03
  6. Step 6: Final answer
    x = 316,826.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.