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Finding the Third Proportional to 103,886 and 225,988

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Solution

The third proportional to 103,886 and 225,988 is: 491,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,886 : 225,988 = 225,988 : x
  2. Step 2: Convert to fraction form
    103,886/225,988 = 225,988/x
  3. Step 3: Cross multiply
    103,886x = 225,988 × 225,988
  4. Step 4: Simplify right side
    103,886x = 51,070,576,144
  5. Step 5: Solve for x
    x = 51,070,576,144/103,886
  6. Step 6: Final answer
    x = 491,602.10

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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.