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Finding the Third Proportional to 104,964 and 221,784

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Solution

The third proportional to 104,964 and 221,784 is: 468,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,964 : 221,784 = 221,784 : x
  2. Step 2: Convert to fraction form
    104,964/221,784 = 221,784/x
  3. Step 3: Cross multiply
    104,964x = 221,784 × 221,784
  4. Step 4: Simplify right side
    104,964x = 49,188,142,656
  5. Step 5: Solve for x
    x = 49,188,142,656/104,964
  6. Step 6: Final answer
    x = 468,619.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.