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Finding the Third Proportional to 103,722.75 and 226,295.63

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Solution

The third proportional to 103,722.75 and 226,295.63 is: 493,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,722.75 : 226,295.63 = 226,295.63 : x
  2. Step 2: Convert to fraction form
    103,722.75/226,295.63 = 226,295.63/x
  3. Step 3: Cross multiply
    103,722.75x = 226,295.63 × 226,295.63
  4. Step 4: Simplify right side
    103,722.75x = 51,209,709,894.14
  5. Step 5: Solve for x
    x = 51,209,709,894.14/103,722.75
  6. Step 6: Final answer
    x = 493,717.24

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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.