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Finding the Third Proportional to 51,391,616 and 111,251,200

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Solution

The third proportional to 51,391,616 and 111,251,200 is: 240,833,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,391,616 : 111,251,200 = 111,251,200 : x
  2. Step 2: Convert to fraction form
    51,391,616/111,251,200 = 111,251,200/x
  3. Step 3: Cross multiply
    51,391,616x = 111,251,200 × 111,251,200
  4. Step 4: Simplify right side
    51,391,616x = 12,376,829,501,440,000
  5. Step 5: Solve for x
    x = 12,376,829,501,440,000/51,391,616
  6. Step 6: Final answer
    x = 240,833,631.33

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Why These Related Problems?

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