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Finding the Third Proportional to 48,858,757,861.50 and 105,434,570,443.50

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Solution

The third proportional to 48,858,757,861.50 and 105,434,570,443.50 is: 227,522,129,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,858,757,861.50 : 105,434,570,443.50 = 105,434,570,443.50 : x
  2. Step 2: Convert to fraction form
    48,858,757,861.50/105,434,570,443.50 = 105,434,570,443.50/x
  3. Step 3: Cross multiply
    48,858,757,861.50x = 105,434,570,443.50 × 105,434,570,443.50
  4. Step 4: Simplify right side
    48,858,757,861.50x = 11,116,448,644,605,363,093,504
  5. Step 5: Solve for x
    x = 11,116,448,644,605,363,093,504/48,858,757,861.50
  6. Step 6: Final answer
    x = 227,522,129,729.89

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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.