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Finding the Third Proportional to 48,920,493 and 105,501,198

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Solution

The third proportional to 48,920,493 and 105,501,198 is: 227,522,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,920,493 : 105,501,198 = 105,501,198 : x
  2. Step 2: Convert to fraction form
    48,920,493/105,501,198 = 105,501,198/x
  3. Step 3: Cross multiply
    48,920,493x = 105,501,198 × 105,501,198
  4. Step 4: Simplify right side
    48,920,493x = 11,130,502,779,435,204
  5. Step 5: Solve for x
    x = 11,130,502,779,435,204/48,920,493
  6. Step 6: Final answer
    x = 227,522,293.76

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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.