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Finding the Third Proportional to 103,207.61 and 227,365.42

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Solution

The third proportional to 103,207.61 and 227,365.42 is: 500,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,207.61 : 227,365.42 = 227,365.42 : x
  2. Step 2: Convert to fraction form
    103,207.61/227,365.42 = 227,365.42/x
  3. Step 3: Cross multiply
    103,207.61x = 227,365.42 × 227,365.42
  4. Step 4: Simplify right side
    103,207.61x = 51,695,033,288.10
  5. Step 5: Solve for x
    x = 51,695,033,288.10/103,207.61
  6. Step 6: Final answer
    x = 500,883.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.