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Finding the Third Proportional to 105,714 and 221,808

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Solution

The third proportional to 105,714 and 221,808 is: 465,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,714 : 221,808 = 221,808 : x
  2. Step 2: Convert to fraction form
    105,714/221,808 = 221,808/x
  3. Step 3: Cross multiply
    105,714x = 221,808 × 221,808
  4. Step 4: Simplify right side
    105,714x = 49,198,788,864
  5. Step 5: Solve for x
    x = 49,198,788,864/105,714
  6. Step 6: Final answer
    x = 465,395.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.