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Finding the Third Proportional to 103,571.16 and 226,903.78

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Solution

The third proportional to 103,571.16 and 226,903.78 is: 497,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,571.16 : 226,903.78 = 226,903.78 : x
  2. Step 2: Convert to fraction form
    103,571.16/226,903.78 = 226,903.78/x
  3. Step 3: Cross multiply
    103,571.16x = 226,903.78 × 226,903.78
  4. Step 4: Simplify right side
    103,571.16x = 51,485,325,945.55
  5. Step 5: Solve for x
    x = 51,485,325,945.55/103,571.16
  6. Step 6: Final answer
    x = 497,101.01

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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.