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Finding the Third Proportional to 219,105.84 and 330,101.16

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Solution

The third proportional to 219,105.84 and 330,101.16 is: 497,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,105.84 : 330,101.16 = 330,101.16 : x
  2. Step 2: Convert to fraction form
    219,105.84/330,101.16 = 330,101.16/x
  3. Step 3: Cross multiply
    219,105.84x = 330,101.16 × 330,101.16
  4. Step 4: Simplify right side
    219,105.84x = 108,966,773,357.59
  5. Step 5: Solve for x
    x = 108,966,773,357.59/219,105.84
  6. Step 6: Final answer
    x = 497,324.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.