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Finding the Third Proportional to 51,197,330 and 111,956,293

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Solution

The third proportional to 51,197,330 and 111,956,293 is: 244,821,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,197,330 : 111,956,293 = 111,956,293 : x
  2. Step 2: Convert to fraction form
    51,197,330/111,956,293 = 111,956,293/x
  3. Step 3: Cross multiply
    51,197,330x = 111,956,293 × 111,956,293
  4. Step 4: Simplify right side
    51,197,330x = 12,534,211,542,301,848
  5. Step 5: Solve for x
    x = 12,534,211,542,301,848/51,197,330
  6. Step 6: Final answer
    x = 244,821,586.25

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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.