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Finding the Third Proportional to 103,154 and 219,796

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Solution

The third proportional to 103,154 and 219,796 is: 468,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,154 : 219,796 = 219,796 : x
  2. Step 2: Convert to fraction form
    103,154/219,796 = 219,796/x
  3. Step 3: Cross multiply
    103,154x = 219,796 × 219,796
  4. Step 4: Simplify right side
    103,154x = 48,310,281,616
  5. Step 5: Solve for x
    x = 48,310,281,616/103,154
  6. Step 6: Final answer
    x = 468,331.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.