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Finding the Third Proportional to 230,991,208 and 513,628,407.50

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Solution

The third proportional to 230,991,208 and 513,628,407.50 is: 1,142,096,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991,208 : 513,628,407.50 = 513,628,407.50 : x
  2. Step 2: Convert to fraction form
    230,991,208/513,628,407.50 = 513,628,407.50/x
  3. Step 3: Cross multiply
    230,991,208x = 513,628,407.50 × 513,628,407.50
  4. Step 4: Simplify right side
    230,991,208x = 263,814,140,990,986,048
  5. Step 5: Solve for x
    x = 263,814,140,990,986,048/230,991,208
  6. Step 6: Final answer
    x = 1,142,096,027.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.