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Finding the Third Proportional to 103,335.75 and 226,046.95

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Solution

The third proportional to 103,335.75 and 226,046.95 is: 494,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,335.75 : 226,046.95 = 226,046.95 : x
  2. Step 2: Convert to fraction form
    103,335.75/226,046.95 = 226,046.95/x
  3. Step 3: Cross multiply
    103,335.75x = 226,046.95 × 226,046.95
  4. Step 4: Simplify right side
    103,335.75x = 51,097,225,017.10
  5. Step 5: Solve for x
    x = 51,097,225,017.10/103,335.75
  6. Step 6: Final answer
    x = 494,477.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.