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Finding the Third Proportional to 47,735,032.50 and 104,214,015

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Solution

The third proportional to 47,735,032.50 and 104,214,015 is: 227,517,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,735,032.50 : 104,214,015 = 104,214,015 : x
  2. Step 2: Convert to fraction form
    47,735,032.50/104,214,015 = 104,214,015/x
  3. Step 3: Cross multiply
    47,735,032.50x = 104,214,015 × 104,214,015
  4. Step 4: Simplify right side
    47,735,032.50x = 10,860,560,922,420,224
  5. Step 5: Solve for x
    x = 10,860,560,922,420,224/47,735,032.50
  6. Step 6: Final answer
    x = 227,517,618.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.