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Finding the Third Proportional to 102,186.94 and 224,056.88

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Solution

The third proportional to 102,186.94 and 224,056.88 is: 491,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,186.94 : 224,056.88 = 224,056.88 : x
  2. Step 2: Convert to fraction form
    102,186.94/224,056.88 = 224,056.88/x
  3. Step 3: Cross multiply
    102,186.94x = 224,056.88 × 224,056.88
  4. Step 4: Simplify right side
    102,186.94x = 50,201,483,234.77
  5. Step 5: Solve for x
    x = 50,201,483,234.77/102,186.94
  6. Step 6: Final answer
    x = 491,271.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.