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Finding the Third Proportional to 48,713,635.50 and 106,002,825

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Solution

The third proportional to 48,713,635.50 and 106,002,825 is: 230,666,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713,635.50 : 106,002,825 = 106,002,825 : x
  2. Step 2: Convert to fraction form
    48,713,635.50/106,002,825 = 106,002,825/x
  3. Step 3: Cross multiply
    48,713,635.50x = 106,002,825 × 106,002,825
  4. Step 4: Simplify right side
    48,713,635.50x = 11,236,598,907,980,624
  5. Step 5: Solve for x
    x = 11,236,598,907,980,624/48,713,635.50
  6. Step 6: Final answer
    x = 230,666,399.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.