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Finding the Third Proportional to 109,204.31 and 238,613.63

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Solution

The third proportional to 109,204.31 and 238,613.63 is: 521,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,204.31 : 238,613.63 = 238,613.63 : x
  2. Step 2: Convert to fraction form
    109,204.31/238,613.63 = 238,613.63/x
  3. Step 3: Cross multiply
    109,204.31x = 238,613.63 × 238,613.63
  4. Step 4: Simplify right side
    109,204.31x = 56,936,462,035.64
  5. Step 5: Solve for x
    x = 56,936,462,035.64/109,204.31
  6. Step 6: Final answer
    x = 521,375.58

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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.