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Finding the Third Proportional to 72,954,272 and 113,848,176

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Solution

The third proportional to 72,954,272 and 113,848,176 is: 177,664,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,954,272 : 113,848,176 = 113,848,176 : x
  2. Step 2: Convert to fraction form
    72,954,272/113,848,176 = 113,848,176/x
  3. Step 3: Cross multiply
    72,954,272x = 113,848,176 × 113,848,176
  4. Step 4: Simplify right side
    72,954,272x = 12,961,407,178,526,976
  5. Step 5: Solve for x
    x = 12,961,407,178,526,976/72,954,272
  6. Step 6: Final answer
    x = 177,664,814.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.