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Finding the Third Proportional to 48,765,208 and 105,936,928

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Solution

The third proportional to 48,765,208 and 105,936,928 is: 230,136,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765,208 : 105,936,928 = 105,936,928 : x
  2. Step 2: Convert to fraction form
    48,765,208/105,936,928 = 105,936,928/x
  3. Step 3: Cross multiply
    48,765,208x = 105,936,928 × 105,936,928
  4. Step 4: Simplify right side
    48,765,208x = 11,222,632,714,077,184
  5. Step 5: Solve for x
    x = 11,222,632,714,077,184/48,765,208
  6. Step 6: Final answer
    x = 230,136,057.54

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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.