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Finding the Third Proportional to 48,219,633 and 105,803,838

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Solution

The third proportional to 48,219,633 and 105,803,838 is: 232,155,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,219,633 : 105,803,838 = 105,803,838 : x
  2. Step 2: Convert to fraction form
    48,219,633/105,803,838 = 105,803,838/x
  3. Step 3: Cross multiply
    48,219,633x = 105,803,838 × 105,803,838
  4. Step 4: Simplify right side
    48,219,633x = 11,194,452,135,530,244
  5. Step 5: Solve for x
    x = 11,194,452,135,530,244/48,219,633
  6. Step 6: Final answer
    x = 232,155,481.89

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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.