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Finding the Third Proportional to 103,662.28 and 226,802.53

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Solution

The third proportional to 103,662.28 and 226,802.53 is: 496,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662.28 : 226,802.53 = 226,802.53 : x
  2. Step 2: Convert to fraction form
    103,662.28/226,802.53 = 226,802.53/x
  3. Step 3: Cross multiply
    103,662.28x = 226,802.53 × 226,802.53
  4. Step 4: Simplify right side
    103,662.28x = 51,439,388,181.41
  5. Step 5: Solve for x
    x = 51,439,388,181.41/103,662.28
  6. Step 6: Final answer
    x = 496,220.88

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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.