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Finding the Third Proportional to 86,010,894,011 and 119,591,273,097

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Solution

The third proportional to 86,010,894,011 and 119,591,273,097 is: 166,282,106,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,010,894,011 : 119,591,273,097 = 119,591,273,097 : x
  2. Step 2: Convert to fraction form
    86,010,894,011/119,591,273,097 = 119,591,273,097/x
  3. Step 3: Cross multiply
    86,010,894,011x = 119,591,273,097 × 119,591,273,097
  4. Step 4: Simplify right side
    86,010,894,011x = 14,302,072,600,961,235,288,064
  5. Step 5: Solve for x
    x = 14,302,072,600,961,235,288,064/86,010,894,011
  6. Step 6: Final answer
    x = 166,282,106,068.24

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Why These Related Problems?

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