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Finding the Third Proportional to 110,956,494.94 and 241,225,558.31

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Solution

The third proportional to 110,956,494.94 and 241,225,558.31 is: 524,437,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,956,494.94 : 241,225,558.31 = 241,225,558.31 : x
  2. Step 2: Convert to fraction form
    110,956,494.94/241,225,558.31 = 241,225,558.31/x
  3. Step 3: Cross multiply
    110,956,494.94x = 241,225,558.31 × 241,225,558.31
  4. Step 4: Simplify right side
    110,956,494.94x = 58,189,769,983,177,336
  5. Step 5: Solve for x
    x = 58,189,769,983,177,336/110,956,494.94
  6. Step 6: Final answer
    x = 524,437,708.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.