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Finding the Third Proportional to 48,781,926 and 105,601,800

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Solution

The third proportional to 48,781,926 and 105,601,800 is: 228,603,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,781,926 : 105,601,800 = 105,601,800 : x
  2. Step 2: Convert to fraction form
    48,781,926/105,601,800 = 105,601,800/x
  3. Step 3: Cross multiply
    48,781,926x = 105,601,800 × 105,601,800
  4. Step 4: Simplify right side
    48,781,926x = 11,151,740,163,240,000
  5. Step 5: Solve for x
    x = 11,151,740,163,240,000/48,781,926
  6. Step 6: Final answer
    x = 228,603,933.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.