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Finding the Third Proportional to 103,723.03 and 226,296.28

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Solution

The third proportional to 103,723.03 and 226,296.28 is: 493,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,723.03 : 226,296.28 = 226,296.28 : x
  2. Step 2: Convert to fraction form
    103,723.03/226,296.28 = 226,296.28/x
  3. Step 3: Cross multiply
    103,723.03x = 226,296.28 × 226,296.28
  4. Step 4: Simplify right side
    103,723.03x = 51,210,006,907.58
  5. Step 5: Solve for x
    x = 51,210,006,907.58/103,723.03
  6. Step 6: Final answer
    x = 493,718.77

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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.