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Finding the Third Proportional to 230,936,823 and 502,527,789

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Solution

The third proportional to 230,936,823 and 502,527,789 is: 1,093,520,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,936,823 : 502,527,789 = 502,527,789 : x
  2. Step 2: Convert to fraction form
    230,936,823/502,527,789 = 502,527,789/x
  3. Step 3: Cross multiply
    230,936,823x = 502,527,789 × 502,527,789
  4. Step 4: Simplify right side
    230,936,823x = 252,534,178,717,228,512
  5. Step 5: Solve for x
    x = 252,534,178,717,228,512/230,936,823
  6. Step 6: Final answer
    x = 1,093,520,623.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.