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Finding the Third Proportional to 48,795,924 and 105,149,796

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Solution

The third proportional to 48,795,924 and 105,149,796 is: 226,586,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,795,924 : 105,149,796 = 105,149,796 : x
  2. Step 2: Convert to fraction form
    48,795,924/105,149,796 = 105,149,796/x
  3. Step 3: Cross multiply
    48,795,924x = 105,149,796 × 105,149,796
  4. Step 4: Simplify right side
    48,795,924x = 11,056,479,598,841,616
  5. Step 5: Solve for x
    x = 11,056,479,598,841,616/48,795,924
  6. Step 6: Final answer
    x = 226,586,130.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.