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Finding the Third Proportional to 49,903,458 and 109,213,743

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Solution

The third proportional to 49,903,458 and 109,213,743 is: 239,014,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903,458 : 109,213,743 = 109,213,743 : x
  2. Step 2: Convert to fraction form
    49,903,458/109,213,743 = 109,213,743/x
  3. Step 3: Cross multiply
    49,903,458x = 109,213,743 × 109,213,743
  4. Step 4: Simplify right side
    49,903,458x = 11,927,641,660,070,048
  5. Step 5: Solve for x
    x = 11,927,641,660,070,048/49,903,458
  6. Step 6: Final answer
    x = 239,014,331.63

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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.