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Finding the Third Proportional to 112,782,416 and 179,458,991

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Solution

The third proportional to 112,782,416 and 179,458,991 is: 285,554,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,782,416 : 179,458,991 = 179,458,991 : x
  2. Step 2: Convert to fraction form
    112,782,416/179,458,991 = 179,458,991/x
  3. Step 3: Cross multiply
    112,782,416x = 179,458,991 × 179,458,991
  4. Step 4: Simplify right side
    112,782,416x = 32,205,529,450,738,080
  5. Step 5: Solve for x
    x = 32,205,529,450,738,080/112,782,416
  6. Step 6: Final answer
    x = 285,554,526.96

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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.