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Finding the Third Proportional to 106,618.13 and 227,998.50

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Solution

The third proportional to 106,618.13 and 227,998.50 is: 487,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,618.13 : 227,998.50 = 227,998.50 : x
  2. Step 2: Convert to fraction form
    106,618.13/227,998.50 = 227,998.50/x
  3. Step 3: Cross multiply
    106,618.13x = 227,998.50 × 227,998.50
  4. Step 4: Simplify right side
    106,618.13x = 51,983,316,002.25
  5. Step 5: Solve for x
    x = 51,983,316,002.25/106,618.13
  6. Step 6: Final answer
    x = 487,565.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.