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Finding the Third Proportional to 102,016 and 220,972

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Solution

The third proportional to 102,016 and 220,972 is: 478,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016 : 220,972 = 220,972 : x
  2. Step 2: Convert to fraction form
    102,016/220,972 = 220,972/x
  3. Step 3: Cross multiply
    102,016x = 220,972 × 220,972
  4. Step 4: Simplify right side
    102,016x = 48,828,624,784
  5. Step 5: Solve for x
    x = 48,828,624,784/102,016
  6. Step 6: Final answer
    x = 478,636.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.