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Finding the Third Proportional to 102,192 and 218,448

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Solution

The third proportional to 102,192 and 218,448 is: 466,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192 : 218,448 = 218,448 : x
  2. Step 2: Convert to fraction form
    102,192/218,448 = 218,448/x
  3. Step 3: Cross multiply
    102,192x = 218,448 × 218,448
  4. Step 4: Simplify right side
    102,192x = 47,719,528,704
  5. Step 5: Solve for x
    x = 47,719,528,704/102,192
  6. Step 6: Final answer
    x = 466,959.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.