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Finding the Third Proportional to 100,460 and 221,368

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Solution

The third proportional to 100,460 and 221,368 is: 487,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,460 : 221,368 = 221,368 : x
  2. Step 2: Convert to fraction form
    100,460/221,368 = 221,368/x
  3. Step 3: Cross multiply
    100,460x = 221,368 × 221,368
  4. Step 4: Simplify right side
    100,460x = 49,003,791,424
  5. Step 5: Solve for x
    x = 49,003,791,424/100,460
  6. Step 6: Final answer
    x = 487,794.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.