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Finding the Third Proportional to 103,226.91 and 226,136.81

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Solution

The third proportional to 103,226.91 and 226,136.81 is: 495,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,226.91 : 226,136.81 = 226,136.81 : x
  2. Step 2: Convert to fraction form
    103,226.91/226,136.81 = 226,136.81/x
  3. Step 3: Cross multiply
    103,226.91x = 226,136.81 × 226,136.81
  4. Step 4: Simplify right side
    103,226.91x = 51,137,857,967.66
  5. Step 5: Solve for x
    x = 51,137,857,967.66/103,226.91
  6. Step 6: Final answer
    x = 495,392.72

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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.