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Finding the Third Proportional to 99,901.69 and 219,484.69

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Solution

The third proportional to 99,901.69 and 219,484.69 is: 482,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,901.69 : 219,484.69 = 219,484.69 : x
  2. Step 2: Convert to fraction form
    99,901.69/219,484.69 = 219,484.69/x
  3. Step 3: Cross multiply
    99,901.69x = 219,484.69 × 219,484.69
  4. Step 4: Simplify right side
    99,901.69x = 48,173,528,046.97
  5. Step 5: Solve for x
    x = 48,173,528,046.97/99,901.69
  6. Step 6: Final answer
    x = 482,209.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.