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Finding the Third Proportional to 103,210 and 226,106

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Solution

The third proportional to 103,210 and 226,106 is: 495,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,210 : 226,106 = 226,106 : x
  2. Step 2: Convert to fraction form
    103,210/226,106 = 226,106/x
  3. Step 3: Cross multiply
    103,210x = 226,106 × 226,106
  4. Step 4: Simplify right side
    103,210x = 51,123,923,236
  5. Step 5: Solve for x
    x = 51,123,923,236/103,210
  6. Step 6: Final answer
    x = 495,338.86

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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.