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Finding the Third Proportional to 102,684.38 and 220,647.38

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Solution

The third proportional to 102,684.38 and 220,647.38 is: 474,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,684.38 : 220,647.38 = 220,647.38 : x
  2. Step 2: Convert to fraction form
    102,684.38/220,647.38 = 220,647.38/x
  3. Step 3: Cross multiply
    102,684.38x = 220,647.38 × 220,647.38
  4. Step 4: Simplify right side
    102,684.38x = 48,685,264,094.39
  5. Step 5: Solve for x
    x = 48,685,264,094.39/102,684.38
  6. Step 6: Final answer
    x = 474,125.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.