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Finding the Third Proportional to 102,053 and 221,814

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Solution

The third proportional to 102,053 and 221,814 is: 482,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,053 : 221,814 = 221,814 : x
  2. Step 2: Convert to fraction form
    102,053/221,814 = 221,814/x
  3. Step 3: Cross multiply
    102,053x = 221,814 × 221,814
  4. Step 4: Simplify right side
    102,053x = 49,201,450,596
  5. Step 5: Solve for x
    x = 49,201,450,596/102,053
  6. Step 6: Final answer
    x = 482,116.65

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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.