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Finding the Third Proportional to 102,051 and 221,810

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Solution

The third proportional to 102,051 and 221,810 is: 482,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,051 : 221,810 = 221,810 : x
  2. Step 2: Convert to fraction form
    102,051/221,810 = 221,810/x
  3. Step 3: Cross multiply
    102,051x = 221,810 × 221,810
  4. Step 4: Simplify right side
    102,051x = 49,199,676,100
  5. Step 5: Solve for x
    x = 49,199,676,100/102,051
  6. Step 6: Final answer
    x = 482,108.71

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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.