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Finding the Third Proportional to 76,650,471.75 and 114,947,555.25

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Solution

The third proportional to 76,650,471.75 and 114,947,555.25 is: 172,379,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650,471.75 : 114,947,555.25 = 114,947,555.25 : x
  2. Step 2: Convert to fraction form
    76,650,471.75/114,947,555.25 = 114,947,555.25/x
  3. Step 3: Cross multiply
    76,650,471.75x = 114,947,555.25 × 114,947,555.25
  4. Step 4: Simplify right side
    76,650,471.75x = 13,212,940,457,951,802
  5. Step 5: Solve for x
    x = 13,212,940,457,951,802/76,650,471.75
  6. Step 6: Final answer
    x = 172,379,114.65

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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.