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Finding the Third Proportional to 102,118.50 and 224,394.75

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Solution

The third proportional to 102,118.50 and 224,394.75 is: 493,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,118.50 : 224,394.75 = 224,394.75 : x
  2. Step 2: Convert to fraction form
    102,118.50/224,394.75 = 224,394.75/x
  3. Step 3: Cross multiply
    102,118.50x = 224,394.75 × 224,394.75
  4. Step 4: Simplify right side
    102,118.50x = 50,353,003,827.56
  5. Step 5: Solve for x
    x = 50,353,003,827.56/102,118.50
  6. Step 6: Final answer
    x = 493,084.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.