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Finding the Third Proportional to 48,676.50 and 105,613.50

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Solution

The third proportional to 48,676.50 and 105,613.50 is: 229,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,676.50 : 105,613.50 = 105,613.50 : x
  2. Step 2: Convert to fraction form
    48,676.50/105,613.50 = 105,613.50/x
  3. Step 3: Cross multiply
    48,676.50x = 105,613.50 × 105,613.50
  4. Step 4: Simplify right side
    48,676.50x = 11,154,211,382.25
  5. Step 5: Solve for x
    x = 11,154,211,382.25/48,676.50
  6. Step 6: Final answer
    x = 229,149.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.