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Finding the Third Proportional to 112,782,512 and 179,459,148

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Solution

The third proportional to 112,782,512 and 179,459,148 is: 285,554,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,782,512 : 179,459,148 = 179,459,148 : x
  2. Step 2: Convert to fraction form
    112,782,512/179,459,148 = 179,459,148/x
  3. Step 3: Cross multiply
    112,782,512x = 179,459,148 × 179,459,148
  4. Step 4: Simplify right side
    112,782,512x = 32,205,585,800,885,904
  5. Step 5: Solve for x
    x = 32,205,585,800,885,904/112,782,512
  6. Step 6: Final answer
    x = 285,554,783.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.