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Finding the Third Proportional to 48,021,170 and 105,149,764

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Solution

The third proportional to 48,021,170 and 105,149,764 is: 230,241,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,021,170 : 105,149,764 = 105,149,764 : x
  2. Step 2: Convert to fraction form
    48,021,170/105,149,764 = 105,149,764/x
  3. Step 3: Cross multiply
    48,021,170x = 105,149,764 × 105,149,764
  4. Step 4: Simplify right side
    48,021,170x = 11,056,472,869,255,696
  5. Step 5: Solve for x
    x = 11,056,472,869,255,696/48,021,170
  6. Step 6: Final answer
    x = 230,241,638.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.