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Finding the Third Proportional to 48,835,732 and 106,162,856

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Solution

The third proportional to 48,835,732 and 106,162,856 is: 230,784,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,835,732 : 106,162,856 = 106,162,856 : x
  2. Step 2: Convert to fraction form
    48,835,732/106,162,856 = 106,162,856/x
  3. Step 3: Cross multiply
    48,835,732x = 106,162,856 × 106,162,856
  4. Step 4: Simplify right side
    48,835,732x = 11,270,551,994,076,736
  5. Step 5: Solve for x
    x = 11,270,551,994,076,736/48,835,732
  6. Step 6: Final answer
    x = 230,784,950.54

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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.