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Finding the Third Proportional to 49,156.88 and 105,482.25

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Solution

The third proportional to 49,156.88 and 105,482.25 is: 226,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,156.88 : 105,482.25 = 105,482.25 : x
  2. Step 2: Convert to fraction form
    49,156.88/105,482.25 = 105,482.25/x
  3. Step 3: Cross multiply
    49,156.88x = 105,482.25 × 105,482.25
  4. Step 4: Simplify right side
    49,156.88x = 11,126,505,065.06
  5. Step 5: Solve for x
    x = 11,126,505,065.06/49,156.88
  6. Step 6: Final answer
    x = 226,346.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.