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Finding the Third Proportional to 101,963 and 222,358

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Solution

The third proportional to 101,963 and 222,358 is: 484,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,963 : 222,358 = 222,358 : x
  2. Step 2: Convert to fraction form
    101,963/222,358 = 222,358/x
  3. Step 3: Cross multiply
    101,963x = 222,358 × 222,358
  4. Step 4: Simplify right side
    101,963x = 49,443,080,164
  5. Step 5: Solve for x
    x = 49,443,080,164/101,963
  6. Step 6: Final answer
    x = 484,911.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.