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Finding the Third Proportional to 102,682.88 and 224,690.63

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Solution

The third proportional to 102,682.88 and 224,690.63 is: 491,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682.88 : 224,690.63 = 224,690.63 : x
  2. Step 2: Convert to fraction form
    102,682.88/224,690.63 = 224,690.63/x
  3. Step 3: Cross multiply
    102,682.88x = 224,690.63 × 224,690.63
  4. Step 4: Simplify right side
    102,682.88x = 50,485,876,962.89
  5. Step 5: Solve for x
    x = 50,485,876,962.89/102,682.88
  6. Step 6: Final answer
    x = 491,667.93

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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.