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Finding the Third Proportional to 71,195,751 and 106,983,189

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Solution

The third proportional to 71,195,751 and 106,983,189 is: 160,759,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,195,751 : 106,983,189 = 106,983,189 : x
  2. Step 2: Convert to fraction form
    71,195,751/106,983,189 = 106,983,189/x
  3. Step 3: Cross multiply
    71,195,751x = 106,983,189 × 106,983,189
  4. Step 4: Simplify right side
    71,195,751x = 11,445,402,728,609,720
  5. Step 5: Solve for x
    x = 11,445,402,728,609,720/71,195,751
  6. Step 6: Final answer
    x = 160,759,631.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.