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Finding the Third Proportional to 104,357 and 222,209

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Solution

The third proportional to 104,357 and 222,209 is: 473,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,357 : 222,209 = 222,209 : x
  2. Step 2: Convert to fraction form
    104,357/222,209 = 222,209/x
  3. Step 3: Cross multiply
    104,357x = 222,209 × 222,209
  4. Step 4: Simplify right side
    104,357x = 49,376,839,681
  5. Step 5: Solve for x
    x = 49,376,839,681/104,357
  6. Step 6: Final answer
    x = 473,153.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.