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Finding the Third Proportional to 103,700.25 and 226,172.25

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Solution

The third proportional to 103,700.25 and 226,172.25 is: 493,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,700.25 : 226,172.25 = 226,172.25 : x
  2. Step 2: Convert to fraction form
    103,700.25/226,172.25 = 226,172.25/x
  3. Step 3: Cross multiply
    103,700.25x = 226,172.25 × 226,172.25
  4. Step 4: Simplify right side
    103,700.25x = 51,153,886,670.06
  5. Step 5: Solve for x
    x = 51,153,886,670.06/103,700.25
  6. Step 6: Final answer
    x = 493,286.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.