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Finding the Third Proportional to 103,909.50 and 224,034.19

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Solution

The third proportional to 103,909.50 and 224,034.19 is: 483,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,909.50 : 224,034.19 = 224,034.19 : x
  2. Step 2: Convert to fraction form
    103,909.50/224,034.19 = 224,034.19/x
  3. Step 3: Cross multiply
    103,909.50x = 224,034.19 × 224,034.19
  4. Step 4: Simplify right side
    103,909.50x = 50,191,317,168.79
  5. Step 5: Solve for x
    x = 50,191,317,168.79/103,909.50
  6. Step 6: Final answer
    x = 483,029.15

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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.