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Finding the Third Proportional to 97,675,127,861.06 and 211,577,076,027

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Solution

The third proportional to 97,675,127,861.06 and 211,577,076,027 is: 458,303,562,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,675,127,861.06 : 211,577,076,027 = 211,577,076,027 : x
  2. Step 2: Convert to fraction form
    97,675,127,861.06/211,577,076,027 = 211,577,076,027/x
  3. Step 3: Cross multiply
    97,675,127,861.06x = 211,577,076,027 × 211,577,076,027
  4. Step 4: Simplify right side
    97,675,127,861.06x = 44,764,859,100,134,939,557,888
  5. Step 5: Solve for x
    x = 44,764,859,100,134,939,557,888/97,675,127,861.06
  6. Step 6: Final answer
    x = 458,303,562,845.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.