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Finding the Third Proportional to 105,598.69 and 219,930.19

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Solution

The third proportional to 105,598.69 and 219,930.19 is: 458,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,598.69 : 219,930.19 = 219,930.19 : x
  2. Step 2: Convert to fraction form
    105,598.69/219,930.19 = 219,930.19/x
  3. Step 3: Cross multiply
    105,598.69x = 219,930.19 × 219,930.19
  4. Step 4: Simplify right side
    105,598.69x = 48,369,287,373.79
  5. Step 5: Solve for x
    x = 48,369,287,373.79/105,598.69
  6. Step 6: Final answer
    x = 458,048.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.