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Finding the Third Proportional to 48,892,914 and 103,614,148

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Solution

The third proportional to 48,892,914 and 103,614,148 is: 219,579,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,914 : 103,614,148 = 103,614,148 : x
  2. Step 2: Convert to fraction form
    48,892,914/103,614,148 = 103,614,148/x
  3. Step 3: Cross multiply
    48,892,914x = 103,614,148 × 103,614,148
  4. Step 4: Simplify right side
    48,892,914x = 10,735,891,665,765,904
  5. Step 5: Solve for x
    x = 10,735,891,665,765,904/48,892,914
  6. Step 6: Final answer
    x = 219,579,705.68

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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.