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Finding the Third Proportional to 96,962,926.50 and 209,309,211

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Solution

The third proportional to 96,962,926.50 and 209,309,211 is: 451,825,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,962,926.50 : 209,309,211 = 209,309,211 : x
  2. Step 2: Convert to fraction form
    96,962,926.50/209,309,211 = 209,309,211/x
  3. Step 3: Cross multiply
    96,962,926.50x = 209,309,211 × 209,309,211
  4. Step 4: Simplify right side
    96,962,926.50x = 43,810,345,809,442,520
  5. Step 5: Solve for x
    x = 43,810,345,809,442,520/96,962,926.50
  6. Step 6: Final answer
    x = 451,825,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.