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Finding the Third Proportional to 48,745,491 and 105,882,150

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Solution

The third proportional to 48,745,491 and 105,882,150 is: 229,991,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,745,491 : 105,882,150 = 105,882,150 : x
  2. Step 2: Convert to fraction form
    48,745,491/105,882,150 = 105,882,150/x
  3. Step 3: Cross multiply
    48,745,491x = 105,882,150 × 105,882,150
  4. Step 4: Simplify right side
    48,745,491x = 11,211,029,688,622,500
  5. Step 5: Solve for x
    x = 11,211,029,688,622,500/48,745,491
  6. Step 6: Final answer
    x = 229,991,112.18

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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.