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Finding the Third Proportional to 104,952.38 and 226,482.75

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Solution

The third proportional to 104,952.38 and 226,482.75 is: 488,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,952.38 : 226,482.75 = 226,482.75 : x
  2. Step 2: Convert to fraction form
    104,952.38/226,482.75 = 226,482.75/x
  3. Step 3: Cross multiply
    104,952.38x = 226,482.75 × 226,482.75
  4. Step 4: Simplify right side
    104,952.38x = 51,294,436,047.56
  5. Step 5: Solve for x
    x = 51,294,436,047.56/104,952.38
  6. Step 6: Final answer
    x = 488,740.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.