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Finding the Third Proportional to 103,918 and 226,032

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Solution

The third proportional to 103,918 and 226,032 is: 491,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,918 : 226,032 = 226,032 : x
  2. Step 2: Convert to fraction form
    103,918/226,032 = 226,032/x
  3. Step 3: Cross multiply
    103,918x = 226,032 × 226,032
  4. Step 4: Simplify right side
    103,918x = 51,090,465,024
  5. Step 5: Solve for x
    x = 51,090,465,024/103,918
  6. Step 6: Final answer
    x = 491,642.11

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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.