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Finding the Third Proportional to 81,366,543 and 122,806,493.50

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Solution

The third proportional to 81,366,543 and 122,806,493.50 is: 185,351,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,366,543 : 122,806,493.50 = 122,806,493.50 : x
  2. Step 2: Convert to fraction form
    81,366,543/122,806,493.50 = 122,806,493.50/x
  3. Step 3: Cross multiply
    81,366,543x = 122,806,493.50 × 122,806,493.50
  4. Step 4: Simplify right side
    81,366,543x = 15,081,434,845,765,542
  5. Step 5: Solve for x
    x = 15,081,434,845,765,542/81,366,543
  6. Step 6: Final answer
    x = 185,351,795.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.