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Finding the Third Proportional to 103,601.53 and 226,681.03

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Solution

The third proportional to 103,601.53 and 226,681.03 is: 495,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,601.53 : 226,681.03 = 226,681.03 : x
  2. Step 2: Convert to fraction form
    103,601.53/226,681.03 = 226,681.03/x
  3. Step 3: Cross multiply
    103,601.53x = 226,681.03 × 226,681.03
  4. Step 4: Simplify right side
    103,601.53x = 51,384,289,928.56
  5. Step 5: Solve for x
    x = 51,384,289,928.56/103,601.53
  6. Step 6: Final answer
    x = 495,980.02

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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.