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Finding the Third Proportional to 108,618.19 and 227,167.88

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Solution

The third proportional to 108,618.19 and 227,167.88 is: 475,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,618.19 : 227,167.88 = 227,167.88 : x
  2. Step 2: Convert to fraction form
    108,618.19/227,167.88 = 227,167.88/x
  3. Step 3: Cross multiply
    108,618.19x = 227,167.88 × 227,167.88
  4. Step 4: Simplify right side
    108,618.19x = 51,605,243,432.02
  5. Step 5: Solve for x
    x = 51,605,243,432.02/108,618.19
  6. Step 6: Final answer
    x = 475,106.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.