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Finding the Third Proportional to 102,166.31 and 220,173.19

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Solution

The third proportional to 102,166.31 and 220,173.19 is: 474,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166.31 : 220,173.19 = 220,173.19 : x
  2. Step 2: Convert to fraction form
    102,166.31/220,173.19 = 220,173.19/x
  3. Step 3: Cross multiply
    102,166.31x = 220,173.19 × 220,173.19
  4. Step 4: Simplify right side
    102,166.31x = 48,476,232,493.91
  5. Step 5: Solve for x
    x = 48,476,232,493.91/102,166.31
  6. Step 6: Final answer
    x = 474,483.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.