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Finding the Third Proportional to 48,892,969 and 103,614,266

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Solution

The third proportional to 48,892,969 and 103,614,266 is: 219,579,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,969 : 103,614,266 = 103,614,266 : x
  2. Step 2: Convert to fraction form
    48,892,969/103,614,266 = 103,614,266/x
  3. Step 3: Cross multiply
    48,892,969x = 103,614,266 × 103,614,266
  4. Step 4: Simplify right side
    48,892,969x = 10,735,916,118,718,756
  5. Step 5: Solve for x
    x = 10,735,916,118,718,756/48,892,969
  6. Step 6: Final answer
    x = 219,579,958.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.