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Finding the Third Proportional to 211,585,997.25 and 326,812,014

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Solution

The third proportional to 211,585,997.25 and 326,812,014 is: 504,788,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,585,997.25 : 326,812,014 = 326,812,014 : x
  2. Step 2: Convert to fraction form
    211,585,997.25/326,812,014 = 326,812,014/x
  3. Step 3: Cross multiply
    211,585,997.25x = 326,812,014 × 326,812,014
  4. Step 4: Simplify right side
    211,585,997.25x = 106,806,092,494,736,192
  5. Step 5: Solve for x
    x = 106,806,092,494,736,192/211,585,997.25
  6. Step 6: Final answer
    x = 504,788,095.07

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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.