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Finding the Third Proportional to 51,383,137.85 and 105,490,250.41

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Solution

The third proportional to 51,383,137.85 and 105,490,250.41 is: 216,572,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383,137.85 : 105,490,250.41 = 105,490,250.41 : x
  2. Step 2: Convert to fraction form
    51,383,137.85/105,490,250.41 = 105,490,250.41/x
  3. Step 3: Cross multiply
    51,383,137.85x = 105,490,250.41 × 105,490,250.41
  4. Step 4: Simplify right side
    51,383,137.85x = 11,128,192,931,805,022
  5. Step 5: Solve for x
    x = 11,128,192,931,805,022/51,383,137.85
  6. Step 6: Final answer
    x = 216,572,856.33

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.