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Finding the Third Proportional to 70,850,097 and 115,691,827.50

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Solution

The third proportional to 70,850,097 and 115,691,827.50 is: 188,914,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,850,097 : 115,691,827.50 = 115,691,827.50 : x
  2. Step 2: Convert to fraction form
    70,850,097/115,691,827.50 = 115,691,827.50/x
  3. Step 3: Cross multiply
    70,850,097x = 115,691,827.50 × 115,691,827.50
  4. Step 4: Simplify right side
    70,850,097x = 13,384,598,950,289,756
  5. Step 5: Solve for x
    x = 13,384,598,950,289,756/70,850,097
  6. Step 6: Final answer
    x = 188,914,334.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.