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Finding the Third Proportional to 103,166 and 226,014

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Solution

The third proportional to 103,166 and 226,014 is: 495,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,166 : 226,014 = 226,014 : x
  2. Step 2: Convert to fraction form
    103,166/226,014 = 226,014/x
  3. Step 3: Cross multiply
    103,166x = 226,014 × 226,014
  4. Step 4: Simplify right side
    103,166x = 51,082,328,196
  5. Step 5: Solve for x
    x = 51,082,328,196/103,166
  6. Step 6: Final answer
    x = 495,146.93

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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.