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Finding the Third Proportional to 121,850,179.50 and 193,100,964

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Solution

The third proportional to 121,850,179.50 and 193,100,964 is: 306,014,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,850,179.50 : 193,100,964 = 193,100,964 : x
  2. Step 2: Convert to fraction form
    121,850,179.50/193,100,964 = 193,100,964/x
  3. Step 3: Cross multiply
    121,850,179.50x = 193,100,964 × 193,100,964
  4. Step 4: Simplify right side
    121,850,179.50x = 37,287,982,297,729,296
  5. Step 5: Solve for x
    x = 37,287,982,297,729,296/121,850,179.50
  6. Step 6: Final answer
    x = 306,014,996.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.