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Finding the Third Proportional to 48,745,493 and 105,882,154

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Solution

The third proportional to 48,745,493 and 105,882,154 is: 229,991,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,745,493 : 105,882,154 = 105,882,154 : x
  2. Step 2: Convert to fraction form
    48,745,493/105,882,154 = 105,882,154/x
  3. Step 3: Cross multiply
    48,745,493x = 105,882,154 × 105,882,154
  4. Step 4: Simplify right side
    48,745,493x = 11,211,030,535,679,716
  5. Step 5: Solve for x
    x = 11,211,030,535,679,716/48,745,493
  6. Step 6: Final answer
    x = 229,991,120.12

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Why These Related Problems?

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