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Finding the Third Proportional to 50,459,362 and 110,471,538

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Solution

The third proportional to 50,459,362 and 110,471,538 is: 241,857,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,459,362 : 110,471,538 = 110,471,538 : x
  2. Step 2: Convert to fraction form
    50,459,362/110,471,538 = 110,471,538/x
  3. Step 3: Cross multiply
    50,459,362x = 110,471,538 × 110,471,538
  4. Step 4: Simplify right side
    50,459,362x = 12,203,960,708,085,444
  5. Step 5: Solve for x
    x = 12,203,960,708,085,444/50,459,362
  6. Step 6: Final answer
    x = 241,857,213.89

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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.