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Finding the Third Proportional to 225,286,893 and 467,840,063.25

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Solution

The third proportional to 225,286,893 and 467,840,063.25 is: 971,535,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,286,893 : 467,840,063.25 = 467,840,063.25 : x
  2. Step 2: Convert to fraction form
    225,286,893/467,840,063.25 = 467,840,063.25/x
  3. Step 3: Cross multiply
    225,286,893x = 467,840,063.25 × 467,840,063.25
  4. Step 4: Simplify right side
    225,286,893x = 218,874,324,781,764,000
  5. Step 5: Solve for x
    x = 218,874,324,781,764,000/225,286,893
  6. Step 6: Final answer
    x = 971,535,990.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.