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Finding the Third Proportional to 86,010,894,021 and 119,591,273,112

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Solution

The third proportional to 86,010,894,021 and 119,591,273,112 is: 166,282,106,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,010,894,021 : 119,591,273,112 = 119,591,273,112 : x
  2. Step 2: Convert to fraction form
    86,010,894,021/119,591,273,112 = 119,591,273,112/x
  3. Step 3: Cross multiply
    86,010,894,021x = 119,591,273,112 × 119,591,273,112
  4. Step 4: Simplify right side
    86,010,894,021x = 14,302,072,604,548,973,723,648
  5. Step 5: Solve for x
    x = 14,302,072,604,548,973,723,648/86,010,894,021
  6. Step 6: Final answer
    x = 166,282,106,090.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.