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Finding the Third Proportional to 51,853,172 and 111,745,267

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Solution

The third proportional to 51,853,172 and 111,745,267 is: 240,814,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853,172 : 111,745,267 = 111,745,267 : x
  2. Step 2: Convert to fraction form
    51,853,172/111,745,267 = 111,745,267/x
  3. Step 3: Cross multiply
    51,853,172x = 111,745,267 × 111,745,267
  4. Step 4: Simplify right side
    51,853,172x = 12,487,004,696,901,288
  5. Step 5: Solve for x
    x = 12,487,004,696,901,288/51,853,172
  6. Step 6: Final answer
    x = 240,814,673.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.