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Finding the Third Proportional to 101,311.50 and 220,460.63

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Solution

The third proportional to 101,311.50 and 220,460.63 is: 479,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,311.50 : 220,460.63 = 220,460.63 : x
  2. Step 2: Convert to fraction form
    101,311.50/220,460.63 = 220,460.63/x
  3. Step 3: Cross multiply
    101,311.50x = 220,460.63 × 220,460.63
  4. Step 4: Simplify right side
    101,311.50x = 48,602,887,175.39
  5. Step 5: Solve for x
    x = 48,602,887,175.39/101,311.50
  6. Step 6: Final answer
    x = 479,737.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.