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Finding the Third Proportional to 102,763.69 and 224,154.84

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Solution

The third proportional to 102,763.69 and 224,154.84 is: 488,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,763.69 : 224,154.84 = 224,154.84 : x
  2. Step 2: Convert to fraction form
    102,763.69/224,154.84 = 224,154.84/x
  3. Step 3: Cross multiply
    102,763.69x = 224,154.84 × 224,154.84
  4. Step 4: Simplify right side
    102,763.69x = 50,245,393,976.59
  5. Step 5: Solve for x
    x = 50,245,393,976.59/102,763.69
  6. Step 6: Final answer
    x = 488,941.13

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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.