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Finding the Third Proportional to 48,713,245 and 106,001,982

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Solution

The third proportional to 48,713,245 and 106,001,982 is: 230,664,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713,245 : 106,001,982 = 106,001,982 : x
  2. Step 2: Convert to fraction form
    48,713,245/106,001,982 = 106,001,982/x
  3. Step 3: Cross multiply
    48,713,245x = 106,001,982 × 106,001,982
  4. Step 4: Simplify right side
    48,713,245x = 11,236,420,187,928,324
  5. Step 5: Solve for x
    x = 11,236,420,187,928,324/48,713,245
  6. Step 6: Final answer
    x = 230,664,579.79

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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.