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Finding the Third Proportional to 211,585,997 and 326,812,012

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Solution

The third proportional to 211,585,997 and 326,812,012 is: 504,788,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,585,997 : 326,812,012 = 326,812,012 : x
  2. Step 2: Convert to fraction form
    211,585,997/326,812,012 = 326,812,012/x
  3. Step 3: Cross multiply
    211,585,997x = 326,812,012 × 326,812,012
  4. Step 4: Simplify right side
    211,585,997x = 106,806,091,187,488,144
  5. Step 5: Solve for x
    x = 106,806,091,187,488,144/211,585,997
  6. Step 6: Final answer
    x = 504,788,089.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.