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Finding the Third Proportional to 102,377 and 209,812

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Solution

The third proportional to 102,377 and 209,812 is: 429,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,377 : 209,812 = 209,812 : x
  2. Step 2: Convert to fraction form
    102,377/209,812 = 209,812/x
  3. Step 3: Cross multiply
    102,377x = 209,812 × 209,812
  4. Step 4: Simplify right side
    102,377x = 44,021,075,344
  5. Step 5: Solve for x
    x = 44,021,075,344/102,377
  6. Step 6: Final answer
    x = 429,989.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.