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Finding the Third Proportional to 119,747,064 and 166,837,824

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Solution

The third proportional to 119,747,064 and 166,837,824 is: 232,447,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,747,064 : 166,837,824 = 166,837,824 : x
  2. Step 2: Convert to fraction form
    119,747,064/166,837,824 = 166,837,824/x
  3. Step 3: Cross multiply
    119,747,064x = 166,837,824 × 166,837,824
  4. Step 4: Simplify right side
    119,747,064x = 27,834,859,517,054,976
  5. Step 5: Solve for x
    x = 27,834,859,517,054,976/119,747,064
  6. Step 6: Final answer
    x = 232,447,114.67

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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.