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Finding the Third Proportional to 100,341 and 219,339

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Solution

The third proportional to 100,341 and 219,339 is: 479,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,341 : 219,339 = 219,339 : x
  2. Step 2: Convert to fraction form
    100,341/219,339 = 219,339/x
  3. Step 3: Cross multiply
    100,341x = 219,339 × 219,339
  4. Step 4: Simplify right side
    100,341x = 48,109,596,921
  5. Step 5: Solve for x
    x = 48,109,596,921/100,341
  6. Step 6: Final answer
    x = 479,461.01

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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.