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Finding the Third Proportional to 48,906,800 and 105,474,776

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Solution

The third proportional to 48,906,800 and 105,474,776 is: 227,472,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,906,800 : 105,474,776 = 105,474,776 : x
  2. Step 2: Convert to fraction form
    48,906,800/105,474,776 = 105,474,776/x
  3. Step 3: Cross multiply
    48,906,800x = 105,474,776 × 105,474,776
  4. Step 4: Simplify right side
    48,906,800x = 11,124,928,372,250,176
  5. Step 5: Solve for x
    x = 11,124,928,372,250,176/48,906,800
  6. Step 6: Final answer
    x = 227,472,015.59

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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.