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Finding the Third Proportional to 102,765.38 and 224,157.38

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Solution

The third proportional to 102,765.38 and 224,157.38 is: 488,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765.38 : 224,157.38 = 224,157.38 : x
  2. Step 2: Convert to fraction form
    102,765.38/224,157.38 = 224,157.38/x
  3. Step 3: Cross multiply
    102,765.38x = 224,157.38 × 224,157.38
  4. Step 4: Simplify right side
    102,765.38x = 50,246,528,766.89
  5. Step 5: Solve for x
    x = 50,246,528,766.89/102,765.38
  6. Step 6: Final answer
    x = 488,944.15

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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.